%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP269-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 16:54:05 EDT 2024

% Result   : Unsatisfiable 10.80s 10.98s
% Output   : Proof 11.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP269-1 : TPTP v8.2.0. Released v2.5.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 26 18:17:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.58/10.79  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.80/10.98  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.3s1Wol3c8g/cvc5---1.0.5_26389.smt2
% 10.80/10.98  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.3s1Wol3c8g/cvc5---1.0.5_26389.smt2
% 11.25/11.42  (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 11.25/11.42  (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 11.25/11.42  (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.42  (assume a3 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.25/11.42  (assume a4 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.25/11.42  (assume a5 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.25/11.42  (assume a6 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.25/11.42  (assume a7 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.25/11.42  (assume a8 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.25/11.42  (assume a9 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.25/11.42  (assume a10 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.25/11.42  (assume a11 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.25/11.42  (assume a12 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.25/11.42  (assume a13 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.25/11.42  (assume a14 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.25/11.42  (assume a15 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.25/11.42  (assume a16 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.25/11.42  (assume a17 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.25/11.42  (assume a18 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.25/11.42  (assume a19 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.25/11.42  (assume a20 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.25/11.42  (assume a21 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.25/11.42  (assume a22 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.25/11.42  (assume a23 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.25/11.42  (assume a24 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.25/11.42  (assume a25 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.25/11.42  (assume a26 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.25/11.42  (assume a27 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.25/11.42  (assume a28 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.25/11.42  (assume a29 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.25/11.42  (assume a30 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.25/11.42  (assume a31 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.25/11.42  (assume a32 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.25/11.42  (assume a33 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.25/11.42  (assume a34 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.25/11.42  (assume a35 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.25/11.42  (assume a36 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.25/11.42  (assume a37 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.25/11.42  (assume a38 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.25/11.42  (assume a39 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.25/11.42  (assume a40 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.25/11.42  (assume a41 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.25/11.42  (assume a42 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.25/11.42  (assume a43 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.25/11.42  (assume a44 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.25/11.42  (assume a45 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.25/11.42  (assume a46 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.25/11.42  (assume a47 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.25/11.42  (assume a48 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.25/11.42  (assume a49 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.25/11.42  (assume a50 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.25/11.42  (assume a51 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.25/11.42  (assume a52 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.25/11.42  (assume a53 (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c11)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))))
% 11.25/11.42  (step t1 (cl (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule or_pos)
% 11.25/11.42  (step t2 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule reordering :premises (t1))
% 11.25/11.42  (step t3 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule and_neg)
% 11.25/11.42  (step t4 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.42  (anchor :step t5)
% 11.25/11.42  (assume t5.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.42  (assume t5.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.42  (assume t5.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.42  (assume t5.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.42  (assume t5.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.42  (assume t5.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.42  (assume t5.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.42  (assume t5.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.42  (assume t5.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.42  (assume t5.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.42  (assume t5.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.42  (assume t5.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.42  (assume t5.a12 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.42  (assume t5.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.42  (assume t5.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.42  (assume t5.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.42  (assume t5.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.42  (assume t5.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.42  (assume t5.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.42  (step t5.t1 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule implies_neg1)
% 11.25/11.42  (anchor :step t5.t2)
% 11.25/11.42  (assume t5.t2.a0 (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))
% 11.25/11.42  (assume t5.t2.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.42  (step t5.t2.t1 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t5.t2.a1))
% 11.25/11.42  (step t5.t2.t2 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.sk_c11)) :rule symm :premises (t5.t2.a0))
% 11.25/11.42  (step t5.t2.t3 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t5.t2.t2))
% 11.25/11.42  (step t5.t2.t4 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t5.t2.t1 t5.t2.t3))
% 11.25/11.42  (step t5.t2 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t5.t2.a0 t5.t2.a1))
% 11.25/11.42  (step t5.t3 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.25/11.42  (step t5.t4 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.42  (step t5.t5 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t5.t2 t5.t3 t5.t4))
% 11.25/11.42  (step t5.t6 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t5.t5))
% 11.25/11.42  (step t5.t7 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t5.t6))
% 11.25/11.42  (step t5.t8 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t5.t1 t5.t7))
% 11.25/11.42  (step t5.t9 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.42  (step t5.t10 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t5.t8 t5.t9))
% 11.25/11.42  (step t5.t11 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t5.t10))
% 11.25/11.42  (step t5.t12 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t5.t11))
% 11.25/11.42  (step t5.t13 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule and_neg)
% 11.25/11.42  (step t5.t14 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.42  (anchor :step t5.t15)
% 11.25/11.42  (assume t5.t15.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.42  (assume t5.t15.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.42  (assume t5.t15.a2 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.42  (assume t5.t15.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.42  (assume t5.t15.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.42  (assume t5.t15.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.42  (assume t5.t15.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.42  (assume t5.t15.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.42  (assume t5.t15.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.42  (assume t5.t15.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.42  (assume t5.t15.a10 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.42  (assume t5.t15.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.42  (assume t5.t15.a12 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.42  (assume t5.t15.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.42  (assume t5.t15.a14 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.42  (assume t5.t15.a15 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.42  (assume t5.t15.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.42  (assume t5.t15.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.42  (assume t5.t15.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.42  (step t5.t15.t1 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.42  (step t5.t15.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t5.t15.a8 t5.t15.t1))
% 11.25/11.42  (step t5.t15.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t5.t15.a8))
% 11.25/11.42  (step t5.t15.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t5.t15.t3 t5.t15.a7))
% 11.25/11.42  (step t5.t15.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t5.t15.a6))
% 11.25/11.42  (step t5.t15.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t5.t15.t5))
% 11.25/11.42  (step t5.t15.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t5.t15.a7))
% 11.25/11.42  (step t5.t15.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t5.t15.t6 t5.t15.t7))
% 11.25/11.42  (step t5.t15.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t5.t15.a5))
% 11.25/11.42  (step t5.t15.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t5.t15.t9))
% 11.25/11.42  (step t5.t15.t11 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.25/11.42  (step t5.t15.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t5.t15.a1))
% 11.25/11.42  (step t5.t15.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t5.t15.t11 t5.t15.t12))
% 11.25/11.42  (step t5.t15.t14 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t5.t15.a0))
% 11.25/11.42  (step t5.t15.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t5.t15.a3))
% 11.25/11.42  (step t5.t15.t16 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.42  (step t5.t15.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t5.t15.t15 t5.t15.t16))
% 11.25/11.42  (step t5.t15.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t5.t15.t17))
% 11.25/11.42  (step t5.t15.t19 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.42  (step t5.t15.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t5.t15.t14 t5.t15.t16))
% 11.25/11.42  (step t5.t15.t21 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t5.t15.a7 t5.t15.t2 t5.t15.t4 t5.t15.t8 t5.t15.t10 t5.t15.t13 t5.t15.t20))
% 11.25/11.42  (step t5.t15.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t5.t15.t19 t5.t15.t21))
% 11.25/11.42  (step t5.t15.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t5.t15.t22))
% 11.25/11.42  (step t5.t15.t24 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t5.t15.a10))
% 11.25/11.42  (step t5.t15.t25 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t5.t15.t24))
% 11.25/11.42  (step t5.t15.t26 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.25/11.42  (step t5.t15.t27 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t5.t15.t25 t5.t15.t26))
% 11.25/11.42  (step t5.t15.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule symm :premises (t5.t15.t27))
% 11.25/11.42  (step t5.t15.t29 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.25/11.42  (step t5.t15.t30 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t5.t15.a2 t5.t15.t18 t5.t15.a4 t5.t15.t23 t5.t15.t15))
% 11.25/11.42  (step t5.t15.t31 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t5.t15.t30 t5.t15.a11))
% 11.25/11.42  (step t5.t15.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t5.t15.a12))
% 11.25/11.42  (step t5.t15.t33 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t5.t15.t3 t5.t15.t26))
% 11.25/11.42  (step t5.t15.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t5.t15.a11))
% 11.25/11.42  (step t5.t15.t35 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) tptp.sk_c5)) :rule trans :premises (t5.t15.t31 t5.t15.t32 t5.t15.t33 t5.t15.t34))
% 11.25/11.42  (step t5.t15.t36 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule cong :premises (t5.t15.t29 t5.t15.t35))
% 11.25/11.42  (step t5.t15.t37 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t5.t15.t36))
% 11.25/11.42  (step t5.t15.t38 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule symm :premises (t5.t15.a13))
% 11.25/11.42  (step t5.t15.t39 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t5.t15.a14))
% 11.25/11.42  (step t5.t15.t40 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t5.t15.t39))
% 11.25/11.42  (step t5.t15.t41 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule cong :premises (t5.t15.t40 t5.t15.t26))
% 11.25/11.42  (step t5.t15.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule symm :premises (t5.t15.t41))
% 11.25/11.42  (step t5.t15.t43 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t5.t15.a15))
% 11.25/11.42  (step t5.t15.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule cong :premises (t5.t15.t43 t5.t15.t26))
% 11.25/11.42  (step t5.t15.t45 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t5.t15.t44))
% 11.25/11.42  (step t5.t15.t46 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t5.t15.a2 t5.t15.t18 t5.t15.a4 t5.t15.t23 t5.t15.t15 t5.t15.a9 t5.t15.t28))
% 11.25/11.42  (step t5.t15.t47 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule cong :premises (t5.t15.t26 t5.t15.t46))
% 11.25/11.42  (step t5.t15.t48 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule symm :premises (t5.t15.t47))
% 11.25/11.42  (step t5.t15.t49 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule trans :premises (t5.t15.a2 t5.t15.t18 t5.t15.a4 t5.t15.t23 t5.t15.t15 t5.t15.a9 t5.t15.t28 t5.t15.t37 t5.t15.t38 t5.t15.t42 t5.t15.t45 t5.t15.a16 t5.t15.t48))
% 11.25/11.42  (step t5.t15.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule cong :premises (t5.t15.t14 t5.t15.t49))
% 11.25/11.42  (step t5.t15.t51 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule symm :premises (t5.t15.a18))
% 11.25/11.42  (step t5.t15.t52 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule trans :premises (t5.t15.t45 t5.t15.a16))
% 11.25/11.42  (step t5.t15.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule cong :premises (t5.t15.t52 t5.t15.t16))
% 11.25/11.42  (step t5.t15.t54 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule symm :premises (t5.t15.a17))
% 11.25/11.42  (step t5.t15.t55 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule symm :premises (t5.t15.t54))
% 11.25/11.42  (step t5.t15.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t5.t15.a9))
% 11.25/11.42  (step t5.t15.t57 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.identity)) :rule trans :premises (t5.t15.t27 t5.t15.t56))
% 11.25/11.42  (step t5.t15.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t5.t15.t57 t5.t15.t30))
% 11.25/11.42  (step t5.t15.t59 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t5.t15.a4))
% 11.25/11.42  (step t5.t15.t60 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t5.t15.a2))
% 11.25/11.42  (step t5.t15.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t5.t15.t58 t5.t15.t3 t5.t15.a3 t5.t15.t22 t5.t15.t59 t5.t15.t17 t5.t15.t60))
% 11.25/11.42  (step t5.t15.t62 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule cong :premises (t5.t15.t26 t5.t15.t61))
% 11.25/11.42  (step t5.t15.t63 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t5.t15.a16))
% 11.25/11.42  (step t5.t15.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t5.t15.t38))
% 11.25/11.42  (step t5.t15.t65 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t5.t15.t12))
% 11.25/11.42  (step t5.t15.t66 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.25/11.42  (step t5.t15.t67 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t5.t15.t14))
% 11.25/11.42  (step t5.t15.t68 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t5.t15.t66 t5.t15.t67))
% 11.25/11.42  (step t5.t15.t69 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t5.t15.a7 t5.t15.t2 t5.t15.t4 t5.t15.t8 t5.t15.t10 t5.t15.t13 t5.t15.t50 t5.t15.t51 t5.t15.t53 t5.t15.t55 t5.t15.t62 t5.t15.t47 t5.t15.t63 t5.t15.t44 t5.t15.t41 t5.t15.t64 t5.t15.t36 t5.t15.t27 t5.t15.t56 t5.t15.a3 t5.t15.t22 t5.t15.t59 t5.t15.t17 t5.t15.t60 t5.t15.t65 t5.t15.t68))
% 11.25/11.42  (step t5.t15 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t5.t15.a0 t5.t15.a1 t5.t15.a2 t5.t15.a3 t5.t15.a4 t5.t15.a5 t5.t15.a6 t5.t15.a7 t5.t15.a8 t5.t15.a9 t5.t15.a10 t5.t15.a11 t5.t15.a12 t5.t15.a13 t5.t15.a14 t5.t15.a15 t5.t15.a16 t5.t15.a17 t5.t15.a18))
% 11.25/11.42  (step t5.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.42  (step t5.t17 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t5.t18 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.42  (step t5.t19 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t5.t20 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t5.t21 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.42  (step t5.t22 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.42  (step t5.t23 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t5.t24 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.42  (step t5.t25 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.42  (step t5.t26 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.42  (step t5.t27 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.42  (step t5.t28 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.42  (step t5.t29 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.42  (step t5.t30 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.42  (step t5.t31 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.42  (step t5.t32 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.42  (step t5.t33 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t5.t34 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t5.t35 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule resolution :premises (t5.t15 t5.t16 t5.t17 t5.t18 t5.t19 t5.t20 t5.t21 t5.t22 t5.t23 t5.t24 t5.t25 t5.t26 t5.t27 t5.t28 t5.t29 t5.t30 t5.t31 t5.t32 t5.t33 t5.t34))
% 11.25/11.42  (step t5.t36 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t5.t35))
% 11.25/11.42  (step t5.t37 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t5.t36))
% 11.25/11.42  (step t5.t38 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t5.t14 t5.t37))
% 11.25/11.42  (step t5.t39 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.42  (step t5.t40 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t5.t38 t5.t39))
% 11.25/11.42  (step t5.t41 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t5.t40))
% 11.25/11.42  (step t5.t42 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t5.t41))
% 11.25/11.42  (step t5.t43 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule and_neg)
% 11.25/11.42  (step t5.t44 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule resolution :premises (t5.t43 t5.a1 t5.a0 t5.a6 t5.a8 t5.a9 t5.a17 t5.a10 t5.a7 t5.a5 t5.a13 t5.a3 t5.a12 t5.a11 t5.a15 t5.a4 t5.a2 t5.a14 t5.a18 t5.a16))
% 11.25/11.42  (step t5.t45 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t5.t42 t5.t44))
% 11.25/11.42  (step t5.t46 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t5.t13 t5.t45 t5.a1))
% 11.25/11.42  (step t5.t47 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t5.t12 t5.t46))
% 11.25/11.42  (step t5 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t5.a0 t5.a1 t5.a2 t5.a3 t5.a4 t5.a5 t5.a6 t5.a7 t5.a8 t5.a9 t5.a10 t5.a11 t5.a12 t5.a13 t5.a14 t5.a15 t5.a16 t5.a17 t5.a18))
% 11.25/11.42  (step t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.42  (step t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.42  (step t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.42  (step t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.42  (step t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.42  (step t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.42  (step t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.42  (step t17 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.42  (step t18 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.42  (step t19 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.42  (step t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.42  (step t21 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.42  (step t22 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t23 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.42  (step t24 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t25 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))))) :rule resolution :premises (t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19 t20 t21 t22 t23 t24))
% 11.25/11.42  (step t26 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t25))
% 11.25/11.42  (step t27 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t26))
% 11.25/11.42  (step t28 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t4 t27))
% 11.25/11.42  (step t29 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.42  (step t30 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t28 t29))
% 11.25/11.42  (step t31 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t30))
% 11.25/11.42  (step t32 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t31))
% 11.25/11.42  (step t33 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t3 t32))
% 11.25/11.42  (step t34 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.25/11.42  (step t35 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule all_simplify)
% 11.25/11.42  (step t36 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule all_simplify)
% 11.25/11.42  (step t37 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t35 t36))
% 11.25/11.42  (step t38 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t34 t37 a3))
% 11.25/11.42  (step t39 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t38))
% 11.25/11.42  (step t40 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule and_neg)
% 11.25/11.42  (step t41 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.42  (anchor :step t42)
% 11.25/11.42  (assume t42.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.42  (assume t42.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.42  (assume t42.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.42  (assume t42.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.42  (assume t42.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.42  (assume t42.a5 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.42  (assume t42.a6 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.42  (assume t42.a7 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.42  (assume t42.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.42  (assume t42.a9 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.42  (assume t42.a10 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.42  (assume t42.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.42  (assume t42.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.42  (assume t42.a13 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))))
% 11.25/11.42  (assume t42.a14 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.25/11.42  (assume t42.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.42  (assume t42.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.42  (assume t42.a17 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.42  (assume t42.a18 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.42  (assume t42.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.42  (assume t42.a20 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.42  (assume t42.a21 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.42  (assume t42.a22 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.42  (assume t42.a23 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))))
% 11.25/11.42  (assume t42.a24 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.42  (assume t42.a25 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.42  (assume t42.a26 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.42  (assume t42.a27 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.42  (assume t42.a28 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.42  (assume t42.a29 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.42  (step t42.t1 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule implies_neg1)
% 11.25/11.42  (anchor :step t42.t2)
% 11.25/11.42  (assume t42.t2.a0 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.25/11.42  (assume t42.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.42  (assume t42.t2.a2 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))))
% 11.25/11.42  (assume t42.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.42  (assume t42.t2.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.42  (assume t42.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.42  (assume t42.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.42  (assume t42.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.42  (assume t42.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.42  (assume t42.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.42  (assume t42.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.42  (assume t42.t2.a11 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.42  (assume t42.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))))
% 11.25/11.42  (assume t42.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.42  (assume t42.t2.a14 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.42  (assume t42.t2.a15 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.42  (assume t42.t2.a16 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.42  (assume t42.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.42  (assume t42.t2.a18 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.42  (assume t42.t2.a19 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.42  (assume t42.t2.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.42  (assume t42.t2.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.42  (assume t42.t2.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.42  (assume t42.t2.a23 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.42  (assume t42.t2.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.42  (assume t42.t2.a25 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.42  (assume t42.t2.a26 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.42  (assume t42.t2.a27 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.42  (assume t42.t2.a28 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.42  (assume t42.t2.a29 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.42  (step t42.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t42.t2.a1))
% 11.25/11.42  (step t42.t2.t2 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.42  (step t42.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t42.t2.t1 t42.t2.t2))
% 11.25/11.42  (step t42.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule symm :premises (t42.t2.t3))
% 11.25/11.42  (step t42.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t42.t2.a4))
% 11.25/11.42  (step t42.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t42.t2.a1 t42.t2.t5))
% 11.25/11.42  (step t42.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t42.t2.t6))
% 11.25/11.42  (step t42.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t42.t2.a5))
% 11.25/11.42  (step t42.t2.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t42.t2.t8 t42.t2.a4))
% 11.25/11.42  (step t42.t2.t10 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t42.t2.t9))
% 11.25/11.42  (step t42.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.25/11.42  (step t42.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t42.t2.a7))
% 11.25/11.42  (step t42.t2.t13 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t42.t2.t12))
% 11.25/11.42  (step t42.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t42.t2.t11 t42.t2.t13))
% 11.25/11.42  (step t42.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule symm :premises (t42.t2.t14))
% 11.25/11.42  (step t42.t2.t16 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t42.t2.a8))
% 11.25/11.42  (step t42.t2.t17 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t42.t2.t16))
% 11.25/11.42  (step t42.t2.t18 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.25/11.42  (step t42.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t42.t2.a3))
% 11.25/11.42  (step t42.t2.t20 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.42  (step t42.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t42.t2.t19 t42.t2.t20))
% 11.25/11.42  (step t42.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t42.t2.t21))
% 11.25/11.42  (step t42.t2.t23 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.42  (step t42.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t42.t2.t16 t42.t2.t20))
% 11.25/11.42  (step t42.t2.t25 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t42.t2.a4 t42.t2.t4 t42.t2.t7 t42.t2.t10 t42.t2.a6 t42.t2.t15 t42.t2.t24))
% 11.25/11.42  (step t42.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t42.t2.t23 t42.t2.t25))
% 11.25/11.42  (step t42.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t42.t2.t26))
% 11.25/11.42  (step t42.t2.t28 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t42.t2.a14))
% 11.25/11.42  (step t42.t2.t29 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t42.t2.t28))
% 11.25/11.42  (step t42.t2.t30 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t42.t2.t29 t42.t2.t18))
% 11.25/11.42  (step t42.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule symm :premises (t42.t2.t30))
% 11.25/11.42  (step t42.t2.t32 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t42.t2.a10 t42.t2.t22 t42.t2.a9 t42.t2.t27 t42.t2.t19 t42.t2.a13 t42.t2.t31))
% 11.25/11.42  (step t42.t2.t33 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule cong :premises (t42.t2.t18 t42.t2.t32))
% 11.25/11.42  (step t42.t2.t34 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t42.t2.a20))
% 11.25/11.42  (step t42.t2.t35 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t42.t2.a19))
% 11.25/11.42  (step t42.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule cong :premises (t42.t2.t35 t42.t2.t18))
% 11.25/11.42  (step t42.t2.t37 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t42.t2.a18))
% 11.25/11.42  (step t42.t2.t38 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t42.t2.t37))
% 11.25/11.42  (step t42.t2.t39 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule cong :premises (t42.t2.t38 t42.t2.t18))
% 11.25/11.42  (step t42.t2.t40 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule symm :premises (t42.t2.a17))
% 11.25/11.42  (step t42.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t42.t2.t40))
% 11.25/11.42  (step t42.t2.t42 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.25/11.42  (step t42.t2.t43 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t42.t2.a10 t42.t2.t22 t42.t2.a9 t42.t2.t27 t42.t2.t19))
% 11.25/11.42  (step t42.t2.t44 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t42.t2.t43 t42.t2.a15))
% 11.25/11.42  (step t42.t2.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t42.t2.a16))
% 11.25/11.42  (step t42.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t42.t2.t1 t42.t2.t18))
% 11.25/11.42  (step t42.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t42.t2.a15))
% 11.25/11.42  (step t42.t2.t48 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) tptp.sk_c5)) :rule trans :premises (t42.t2.t44 t42.t2.t45 t42.t2.t46 t42.t2.t47))
% 11.25/11.42  (step t42.t2.t49 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule cong :premises (t42.t2.t42 t42.t2.t48))
% 11.25/11.42  (step t42.t2.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t42.t2.a13))
% 11.25/11.42  (step t42.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t42.t2.a9))
% 11.25/11.42  (step t42.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t42.t2.a10))
% 11.25/11.42  (step t42.t2.t53 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t42.t2.t33 t42.t2.t34 t42.t2.t36 t42.t2.t39 t42.t2.t41 t42.t2.t49 t42.t2.t30 t42.t2.t50 t42.t2.a3 t42.t2.t26 t42.t2.t51 t42.t2.t21 t42.t2.t52))
% 11.25/11.42  (step t42.t2.t54 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t42.t2.t17 t42.t2.t53))
% 11.25/11.42  (step t42.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule symm :premises (t42.t2.t54))
% 11.25/11.42  (step t42.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule symm :premises (t42.t2.a22))
% 11.25/11.42  (step t42.t2.t57 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule trans :premises (t42.t2.t34 t42.t2.t36))
% 11.25/11.42  (step t42.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t42.t2.t57 t42.t2.t20))
% 11.25/11.42  (step t42.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule symm :premises (t42.t2.t58))
% 11.25/11.42  (step t42.t2.t60 (cl (= tptp.identity (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t42.t2.a13 t42.t2.t31))
% 11.25/11.42  (step t42.t2.t61 (cl (= tptp.identity tptp.sk_c10)) :rule symm :premises (t42.t2.t43))
% 11.25/11.42  (step t42.t2.t62 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t42.t2.t60 t42.t2.t61))
% 11.25/11.42  (step t42.t2.t63 (cl (= tptp.sk_c10 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) :rule trans :premises (t42.t2.a10 t42.t2.t22 t42.t2.a9 t42.t2.t27 t42.t2.t19 t42.t2.a1 t42.t2.t62))
% 11.25/11.42  (step t42.t2.t64 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule cong :premises (t42.t2.t18 t42.t2.t63))
% 11.25/11.42  (step t42.t2.t65 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule symm :premises (t42.t2.t64))
% 11.25/11.42  (step t42.t2.t66 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t42.t2.a23))
% 11.25/11.42  (step t42.t2.t67 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t42.t2.t66 t42.t2.t20))
% 11.25/11.42  (step t42.t2.t68 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule symm :premises (t42.t2.t67))
% 11.25/11.42  (step t42.t2.t69 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t42.t2.a25))
% 11.25/11.42  (step t42.t2.t70 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t42.t2.t69))
% 11.25/11.42  (step t42.t2.t71 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t42.t2.a3 t42.t2.t26 t42.t2.t51 t42.t2.t21 t42.t2.t52 t42.t2.t70))
% 11.25/11.42  (step t42.t2.t72 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t42.t2.a27))
% 11.25/11.42  (step t42.t2.t73 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t42.t2.a26))
% 11.25/11.42  (step t42.t2.t74 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule symm :premises (t42.t2.t73))
% 11.25/11.42  (step t42.t2.t75 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule trans :premises (t42.t2.t72 t42.t2.t74))
% 11.25/11.42  (step t42.t2.t76 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule cong :premises (t42.t2.t71 t42.t2.t75))
% 11.25/11.42  (step t42.t2.t77 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule symm :premises (t42.t2.t76))
% 11.25/11.42  (step t42.t2.t78 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t42.t2.t61 t42.t2.a11))
% 11.25/11.42  (step t42.t2.t79 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule cong :premises (t42.t2.t78 t42.t2.t72))
% 11.25/11.42  (step t42.t2.t80 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t42.t2.a29))
% 11.25/11.42  (step t42.t2.t81 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule symm :premises (t42.t2.t80))
% 11.25/11.42  (step t42.t2.t82 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.42  (step t42.t2.t83 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.42  (step t42.t2.t84 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule cong :premises (t42.t2.a1 t42.t2.t83))
% 11.25/11.42  (step t42.t2.t85 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t42.t2.a28))
% 11.25/11.42  (step t42.t2.t86 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule symm :premises (t42.t2.t85))
% 11.25/11.42  (step t42.t2.t87 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule symm :premises (t42.t2.a24))
% 11.25/11.42  (step t42.t2.t88 (cl (= tptp.sk_c9 tptp.sk_c10)) :rule trans :premises (t42.t2.a27 t42.t2.t84 t42.t2.t86 t42.t2.t76 t42.t2.t87 t42.t2.t67 t42.t2.t52))
% 11.25/11.42  (step t42.t2.t89 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t42.t2.t17 t42.t2.t88))
% 11.25/11.42  (step t42.t2.t90 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.identity)) :rule trans :premises (t42.t2.t89 t42.t2.t55 t42.t2.t56 t42.t2.t59 t42.t2.a21 t42.t2.t65 t42.t2.t33 t42.t2.t34 t42.t2.t36 t42.t2.t39 t42.t2.t41 t42.t2.t49 t42.t2.t30 t42.t2.t50))
% 11.25/11.42  (step t42.t2.t91 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t42.t2.t82 t42.t2.t90))
% 11.25/11.42  (step t42.t2.t92 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.25/11.42  (step t42.t2.t93 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.sk_c11 tptp.sk_c3))) :rule cong :premises (t42.t2.t16 t42.t2.t92))
% 11.25/11.42  (step t42.t2.t94 (cl (= tptp.identity (tptp.multiply tptp.sk_c11 tptp.sk_c3))) :rule trans :premises (t42.t2.a5 t42.t2.t93))
% 11.25/11.42  (step t42.t2.t95 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule cong :premises (t42.t2.t82 t42.t2.t94))
% 11.25/11.42  (step t42.t2.t96 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3))) :rule symm :premises (t42.t2.a12))
% 11.25/11.42  (step t42.t2.t97 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t42.t2.a11))
% 11.25/11.42  (step t42.t2.t98 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t42.t2.t97 t42.t2.t13))
% 11.25/11.42  (step t42.t2.t99 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c3))) :rule cong :premises (t42.t2.t98 t42.t2.t92))
% 11.25/11.42  (step t42.t2.t100 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.identity)) :rule trans :premises (t42.t2.t12 t42.t2.t43))
% 11.25/11.42  (step t42.t2.t101 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t42.t2.t100 t42.t2.a0))
% 11.25/11.42  (step t42.t2.t102 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3))) :rule symm :premises (t42.t2.a2))
% 11.25/11.42  (step t42.t2.t103 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t42.t2.t1 t42.t2.t92))
% 11.25/11.42  (step t42.t2.t104 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t42.t2.a0))
% 11.25/11.42  (step t42.t2.t105 (cl (= tptp.identity tptp.sk_c3)) :rule trans :premises (t42.t2.a3 t42.t2.t26 t42.t2.t51 t42.t2.t21 t42.t2.t68 t42.t2.a24 t42.t2.t77 t42.t2.t79 t42.t2.t81 t42.t2.t91 t42.t2.t95 t42.t2.t96 t42.t2.t99 t42.t2.t101 t42.t2.t102 t42.t2.t103 t42.t2.t104))
% 11.25/11.42  (step t42.t2.t106 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t42.t2.t49))
% 11.25/11.42  (step t42.t2.t107 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule symm :premises (t42.t2.t39))
% 11.25/11.42  (step t42.t2.t108 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t42.t2.t36))
% 11.25/11.42  (step t42.t2.t109 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule symm :premises (t42.t2.t33))
% 11.25/11.42  (step t42.t2.t110 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule symm :premises (t42.t2.a21))
% 11.25/11.42  (step t42.t2.t111 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule symm :premises (t42.t2.t56))
% 11.25/11.42  (step t42.t2.t112 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t42.t2.a6))
% 11.25/11.42  (step t42.t2.t113 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule trans :premises (t42.t2.a13 t42.t2.t31 t42.t2.t106 t42.t2.t40 t42.t2.t107 t42.t2.t108 t42.t2.a20 t42.t2.t109 t42.t2.t64 t42.t2.t110 t42.t2.t58 t42.t2.t111 t42.t2.t54 t42.t2.t14 t42.t2.t112 t42.t2.t9 t42.t2.t6 t42.t2.t3 t42.t2.t5 t42.t2.t17))
% 11.25/11.42  (step t42.t2.t114 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t42.t2.t105 t42.t2.t113))
% 11.25/11.42  (step t42.t2.t115 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t42.t2.a4 t42.t2.t4 t42.t2.t7 t42.t2.t10 t42.t2.a6 t42.t2.t15 t42.t2.t55 t42.t2.t56 t42.t2.t59 t42.t2.a21 t42.t2.t65 t42.t2.t33 t42.t2.t34 t42.t2.t36 t42.t2.t39 t42.t2.t41 t42.t2.t49 t42.t2.t30 t42.t2.t50 t42.t2.a1 t42.t2.t114))
% 11.25/11.42  (step t42.t2 (cl (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t42.t2.a0 t42.t2.a1 t42.t2.a2 t42.t2.a3 t42.t2.a4 t42.t2.a5 t42.t2.a6 t42.t2.a7 t42.t2.a8 t42.t2.a9 t42.t2.a10 t42.t2.a11 t42.t2.a12 t42.t2.a13 t42.t2.a14 t42.t2.a15 t42.t2.a16 t42.t2.a17 t42.t2.a18 t42.t2.a19 t42.t2.a20 t42.t2.a21 t42.t2.a22 t42.t2.a23 t42.t2.a24 t42.t2.a25 t42.t2.a26 t42.t2.a27 t42.t2.a28 t42.t2.a29))
% 11.25/11.42  (step t42.t3 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.25/11.42  (step t42.t4 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.42  (step t42.t5 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule and_pos)
% 11.25/11.42  (step t42.t6 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t42.t7 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t42.t8 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.42  (step t42.t9 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.42  (step t42.t10 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t42.t11 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.42  (step t42.t12 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t42.t13 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.42  (step t42.t14 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.42  (step t42.t15 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule and_pos)
% 11.25/11.42  (step t42.t16 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.42  (step t42.t17 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.42  (step t42.t18 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.42  (step t42.t19 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.42  (step t42.t20 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.42  (step t42.t21 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.42  (step t42.t22 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.42  (step t42.t23 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.42  (step t42.t24 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t42.t25 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t42.t26 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.42  (step t42.t27 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.42  (step t42.t28 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.42  (step t42.t29 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.42  (step t42.t30 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.42  (step t42.t31 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.42  (step t42.t32 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.42  (step t42.t33 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))))) :rule resolution :premises (t42.t2 t42.t3 t42.t4 t42.t5 t42.t6 t42.t7 t42.t8 t42.t9 t42.t10 t42.t11 t42.t12 t42.t13 t42.t14 t42.t15 t42.t16 t42.t17 t42.t18 t42.t19 t42.t20 t42.t21 t42.t22 t42.t23 t42.t24 t42.t25 t42.t26 t42.t27 t42.t28 t42.t29 t42.t30 t42.t31 t42.t32))
% 11.25/11.42  (step t42.t34 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t42.t33))
% 11.25/11.43  (step t42.t35 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t42.t34))
% 11.25/11.43  (step t42.t36 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t42.t1 t42.t35))
% 11.25/11.43  (step t42.t37 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.43  (step t42.t38 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t42.t36 t42.t37))
% 11.25/11.43  (step t42.t39 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t42.t38))
% 11.25/11.43  (step t42.t40 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t42.t39))
% 11.25/11.43  (step t42.t41 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule and_neg)
% 11.25/11.43  (step t42.t42 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule resolution :premises (t42.t41 t42.a14 t42.a8 t42.a13 t42.a11 t42.a10 t42.a15 t42.a28 t42.a1 t42.a2 t42.a12 t42.a9 t42.a0 t42.a23 t42.a22 t42.a6 t42.a21 t42.a20 t42.a25 t42.a7 t42.a5 t42.a24 t42.a29 t42.a26 t42.a16 t42.a27 t42.a4 t42.a3 t42.a18 t42.a17 t42.a19))
% 11.25/11.43  (step t42.t43 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t42.t40 t42.t42))
% 11.25/11.43  (step t42 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t42.a0 t42.a1 t42.a2 t42.a3 t42.a4 t42.a5 t42.a6 t42.a7 t42.a8 t42.a9 t42.a10 t42.a11 t42.a12 t42.a13 t42.a14 t42.a15 t42.a16 t42.a17 t42.a18 t42.a19 t42.a20 t42.a21 t42.a22 t42.a23 t42.a24 t42.a25 t42.a26 t42.a27 t42.a28 t42.a29))
% 11.25/11.43  (step t43 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t44 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t45 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t46 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t47 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t48 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.43  (step t49 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t50 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t51 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.43  (step t52 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t53 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t54 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t55 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t56 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule and_pos)
% 11.25/11.43  (step t57 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t58 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t59 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t60 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.43  (step t61 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.43  (step t62 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.43  (step t63 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t64 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t65 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t66 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule and_pos)
% 11.25/11.43  (step t67 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t68 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t69 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t70 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t71 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.43  (step t72 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t73 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))))) :rule resolution :premises (t42 t43 t44 t45 t46 t47 t48 t49 t50 t51 t52 t53 t54 t55 t56 t57 t58 t59 t60 t61 t62 t63 t64 t65 t66 t67 t68 t69 t70 t71 t72))
% 11.25/11.43  (step t74 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t73))
% 11.25/11.43  (step t75 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t74))
% 11.25/11.43  (step t76 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t41 t75))
% 11.25/11.43  (step t77 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.43  (step t78 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t76 t77))
% 11.25/11.43  (step t79 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t78))
% 11.25/11.43  (step t80 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t79))
% 11.25/11.43  (step t81 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t40 t80))
% 11.25/11.43  (step t82 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t83)
% 11.25/11.43  (assume t83.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t83.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c5) (:= Y (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (:= Z tptp.sk_c10)))
% 11.25/11.43  (step t83.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule or :premises (t83.t1))
% 11.25/11.43  (step t83.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule resolution :premises (t83.t2 t83.a0))
% 11.25/11.43  (step t83 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule subproof :discharge (t83.a0))
% 11.25/11.43  (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule resolution :premises (t82 t83))
% 11.25/11.43  (step t85 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule implies_neg2)
% 11.25/11.43  (step t86 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule resolution :premises (t84 t85))
% 11.25/11.43  (step t87 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule contraction :premises (t86))
% 11.25/11.43  (step t88 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule implies :premises (t87))
% 11.25/11.43  (step t89 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule resolution :premises (t88 a2))
% 11.25/11.43  (step t90 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t91)
% 11.25/11.43  (assume t91.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t91.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z tptp.sk_c11)))
% 11.25/11.43  (step t91.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule or :premises (t91.t1))
% 11.25/11.43  (step t91.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t91.t2 t91.a0))
% 11.25/11.43  (step t91 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule subproof :discharge (t91.a0))
% 11.25/11.43  (step t92 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t90 t91))
% 11.25/11.43  (step t93 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies_neg2)
% 11.25/11.43  (step t94 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t92 t93))
% 11.25/11.43  (step t95 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t94))
% 11.25/11.43  (step t96 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule implies :premises (t95))
% 11.25/11.43  (step t97 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t96 a2))
% 11.25/11.43  (step t98 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t99)
% 11.25/11.43  (assume t99.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t99.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4)) (:= Y tptp.sk_c4) (:= Z tptp.sk_c10)))
% 11.25/11.43  (step t99.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule or :premises (t99.t1))
% 11.25/11.43  (step t99.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t99.t2 t99.a0))
% 11.25/11.43  (step t99 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule subproof :discharge (t99.a0))
% 11.25/11.43  (step t100 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t98 t99))
% 11.25/11.43  (step t101 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule implies_neg2)
% 11.25/11.43  (step t102 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule resolution :premises (t100 t101))
% 11.25/11.43  (step t103 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule contraction :premises (t102))
% 11.25/11.43  (step t104 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule implies :premises (t103))
% 11.25/11.43  (step t105 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t104 a2))
% 11.25/11.43  (step t106 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t107)
% 11.25/11.43  (assume t107.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t107.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c11) (:= Y tptp.sk_c5) (:= Z tptp.sk_c10)))
% 11.25/11.43  (step t107.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule or :premises (t107.t1))
% 11.25/11.43  (step t107.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule resolution :premises (t107.t2 t107.a0))
% 11.25/11.43  (step t107 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule subproof :discharge (t107.a0))
% 11.25/11.43  (step t108 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule resolution :premises (t106 t107))
% 11.25/11.43  (step t109 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule implies_neg2)
% 11.25/11.43  (step t110 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule resolution :premises (t108 t109))
% 11.25/11.43  (step t111 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule contraction :premises (t110))
% 11.25/11.43  (step t112 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule implies :premises (t111))
% 11.25/11.43  (step t113 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule resolution :premises (t112 a2))
% 11.25/11.43  (step t114 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t115)
% 11.25/11.43  (assume t115.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t115.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))) :rule forall_inst :args ((:= X tptp.sk_c8) (:= Y tptp.sk_c10) (:= Z tptp.sk_c5)))
% 11.25/11.43  (step t115.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule or :premises (t115.t1))
% 11.25/11.43  (step t115.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule resolution :premises (t115.t2 t115.a0))
% 11.25/11.43  (step t115 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule subproof :discharge (t115.a0))
% 11.25/11.43  (step t116 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule resolution :premises (t114 t115))
% 11.25/11.43  (step t117 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))) :rule implies_neg2)
% 11.25/11.43  (step t118 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))) :rule resolution :premises (t116 t117))
% 11.25/11.43  (step t119 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))) :rule contraction :premises (t118))
% 11.25/11.43  (step t120 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule implies :premises (t119))
% 11.25/11.43  (step t121 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule resolution :premises (t120 a2))
% 11.25/11.43  (step t122 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t123)
% 11.25/11.43  (assume t123.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t123.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule forall_inst :args ((:= X tptp.sk_c5) (:= Y tptp.sk_c8) (:= Z tptp.sk_c5)))
% 11.25/11.43  (step t123.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule or :premises (t123.t1))
% 11.25/11.43  (step t123.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t123.t2 t123.a0))
% 11.25/11.43  (step t123 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule subproof :discharge (t123.a0))
% 11.25/11.43  (step t124 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t122 t123))
% 11.25/11.43  (step t125 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule implies_neg2)
% 11.25/11.43  (step t126 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule resolution :premises (t124 t125))
% 11.25/11.43  (step t127 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule contraction :premises (t126))
% 11.25/11.43  (step t128 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule implies :premises (t127))
% 11.25/11.43  (step t129 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t128 a2))
% 11.25/11.43  (step t130 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t131)
% 11.25/11.43  (assume t131.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t131.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c11) (:= Z tptp.sk_c3)))
% 11.25/11.43  (step t131.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule or :premises (t131.t1))
% 11.25/11.43  (step t131.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule resolution :premises (t131.t2 t131.a0))
% 11.25/11.43  (step t131 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule subproof :discharge (t131.a0))
% 11.25/11.43  (step t132 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule resolution :premises (t130 t131))
% 11.25/11.43  (step t133 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.43  (step t134 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))))) :rule resolution :premises (t132 t133))
% 11.25/11.43  (step t135 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))))) :rule contraction :premises (t134))
% 11.25/11.43  (step t136 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule implies :premises (t135))
% 11.25/11.43  (step t137 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule resolution :premises (t136 a2))
% 11.25/11.43  (step t138 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t139)
% 11.25/11.43  (assume t139.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.25/11.43  (step t139.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 11.25/11.43  (step t139.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule or :premises (t139.t1))
% 11.25/11.43  (step t139.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t139.t2 t139.a0))
% 11.25/11.43  (step t139 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule subproof :discharge (t139.a0))
% 11.25/11.43  (step t140 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t138 t139))
% 11.25/11.43  (step t141 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg2)
% 11.25/11.43  (step t142 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t140 t141))
% 11.25/11.43  (step t143 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule contraction :premises (t142))
% 11.25/11.43  (step t144 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule implies :premises (t143))
% 11.25/11.43  (step t145 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 11.25/11.43  (anchor :step t146 :args ((X $$unsorted) (:= X X)))
% 11.25/11.43  (step t146.t1 (cl (= X X)) :rule refl)
% 11.25/11.43  (step t146.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 11.25/11.43  (step t146 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule bind)
% 11.25/11.43  (step t147 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t145 t146 a1))
% 11.25/11.43  (step t148 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t144 t147))
% 11.25/11.43  (step t149 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t150)
% 11.25/11.43  (assume t150.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.25/11.43  (step t150.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 11.25/11.43  (step t150.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule or :premises (t150.t1))
% 11.25/11.43  (step t150.t3 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t150.t2 t150.a0))
% 11.25/11.43  (step t150 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t150.a0))
% 11.25/11.43  (step t151 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t149 t150))
% 11.25/11.43  (step t152 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 11.25/11.43  (step t153 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t151 t152))
% 11.25/11.43  (step t154 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t153))
% 11.25/11.43  (step t155 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t154))
% 11.25/11.43  (step t156 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 11.25/11.43  (anchor :step t157 :args ((X $$unsorted) (:= X X)))
% 11.25/11.43  (step t157.t1 (cl (= X X)) :rule refl)
% 11.25/11.43  (step t157.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 11.25/11.43  (step t157 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 11.25/11.43  (step t158 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t156 t157 a0))
% 11.25/11.43  (step t159 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t155 t158))
% 11.25/11.43  (step t160 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t161)
% 11.25/11.43  (assume t161.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t161.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y tptp.identity) (:= Z tptp.sk_c5)))
% 11.25/11.43  (step t161.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule or :premises (t161.t1))
% 11.25/11.43  (step t161.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t161.t2 t161.a0))
% 11.25/11.43  (step t161 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule subproof :discharge (t161.a0))
% 11.25/11.43  (step t162 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t160 t161))
% 11.25/11.43  (step t163 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg2)
% 11.25/11.43  (step t164 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))) :rule resolution :premises (t162 t163))
% 11.25/11.43  (step t165 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))) :rule contraction :premises (t164))
% 11.25/11.43  (step t166 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies :premises (t165))
% 11.25/11.43  (step t167 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t166 a2))
% 11.25/11.43  (step t168 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t169)
% 11.25/11.43  (assume t169.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t169.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c11) (:= Z tptp.sk_c9)))
% 11.25/11.43  (step t169.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule or :premises (t169.t1))
% 11.25/11.43  (step t169.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule resolution :premises (t169.t2 t169.a0))
% 11.25/11.43  (step t169 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule subproof :discharge (t169.a0))
% 11.25/11.43  (step t170 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule resolution :premises (t168 t169))
% 11.25/11.43  (step t171 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule implies_neg2)
% 11.25/11.43  (step t172 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule resolution :premises (t170 t171))
% 11.25/11.43  (step t173 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule contraction :premises (t172))
% 11.25/11.43  (step t174 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule implies :premises (t173))
% 11.25/11.43  (step t175 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule resolution :premises (t174 a2))
% 11.25/11.43  (step t176 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t177)
% 11.25/11.43  (assume t177.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.25/11.43  (step t177.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule forall_inst :args ((:= X tptp.sk_c9)))
% 11.25/11.43  (step t177.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule or :premises (t177.t1))
% 11.25/11.43  (step t177.t3 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t177.t2 t177.a0))
% 11.25/11.43  (step t177 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule subproof :discharge (t177.a0))
% 11.25/11.43  (step t178 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t176 t177))
% 11.25/11.43  (step t179 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule implies_neg2)
% 11.25/11.43  (step t180 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t178 t179))
% 11.25/11.43  (step t181 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) :rule contraction :premises (t180))
% 11.25/11.43  (step t182 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule implies :premises (t181))
% 11.25/11.43  (step t183 (cl (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule resolution :premises (t182 t158))
% 11.25/11.43  (step t184 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t185)
% 11.25/11.43  (assume t185.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t185.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y tptp.identity) (:= Z tptp.sk_c9)))
% 11.25/11.43  (step t185.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule or :premises (t185.t1))
% 11.25/11.43  (step t185.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t185.t2 t185.a0))
% 11.25/11.43  (step t185 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule subproof :discharge (t185.a0))
% 11.25/11.43  (step t186 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t184 t185))
% 11.25/11.43  (step t187 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))) :rule implies_neg2)
% 11.25/11.43  (step t188 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))) :rule resolution :premises (t186 t187))
% 11.25/11.43  (step t189 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))) :rule contraction :premises (t188))
% 11.25/11.43  (step t190 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule implies :premises (t189))
% 11.25/11.43  (step t191 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule resolution :premises (t190 a2))
% 11.25/11.43  (step t192 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t193)
% 11.25/11.43  (assume t193.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.25/11.43  (step t193.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.25/11.43  (step t193.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t193.t1))
% 11.25/11.43  (step t193.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t193.t2 t193.a0))
% 11.25/11.43  (step t193 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t193.a0))
% 11.25/11.43  (step t194 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t192 t193))
% 11.25/11.43  (step t195 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg2)
% 11.25/11.43  (step t196 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t194 t195))
% 11.25/11.43  (step t197 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t196))
% 11.25/11.43  (step t198 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t197))
% 11.25/11.43  (step t199 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t198 t147))
% 11.25/11.43  (step t200 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t201)
% 11.25/11.43  (assume t201.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.25/11.43  (step t201.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.25/11.43  (step t201.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t201.t1))
% 11.25/11.43  (step t201.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t201.t2 t201.a0))
% 11.25/11.43  (step t201 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t201.a0))
% 11.25/11.43  (step t202 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t200 t201))
% 11.25/11.43  (step t203 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg2)
% 11.25/11.43  (step t204 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t202 t203))
% 11.25/11.43  (step t205 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t204))
% 11.25/11.43  (step t206 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t205))
% 11.25/11.43  (step t207 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t206 t147))
% 11.25/11.43  (step t208 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t209)
% 11.25/11.43  (assume t209.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.25/11.43  (step t209.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.25/11.43  (step t209.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule or :premises (t209.t1))
% 11.25/11.43  (step t209.t3 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t209.t2 t209.a0))
% 11.25/11.43  (step t209 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule subproof :discharge (t209.a0))
% 11.25/11.43  (step t210 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t208 t209))
% 11.25/11.43  (step t211 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg2)
% 11.25/11.43  (step t212 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t210 t211))
% 11.25/11.43  (step t213 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule contraction :premises (t212))
% 11.25/11.43  (step t214 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule implies :premises (t213))
% 11.25/11.43  (step t215 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t214 t158))
% 11.25/11.43  (step t216 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t217)
% 11.25/11.43  (assume t217.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t217.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y tptp.identity) (:= Z tptp.sk_c3)))
% 11.25/11.43  (step t217.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule or :premises (t217.t1))
% 11.25/11.43  (step t217.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t217.t2 t217.a0))
% 11.25/11.43  (step t217 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule subproof :discharge (t217.a0))
% 11.25/11.43  (step t218 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t216 t217))
% 11.25/11.43  (step t219 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.43  (step t220 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))))) :rule resolution :premises (t218 t219))
% 11.25/11.43  (step t221 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))))) :rule contraction :premises (t220))
% 11.25/11.43  (step t222 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies :premises (t221))
% 11.25/11.43  (step t223 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t222 a2))
% 11.25/11.43  (step t224 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t225)
% 11.25/11.43  (assume t225.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t225.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c11)) (:= Y tptp.sk_c11) (:= Z tptp.sk_c10)))
% 11.25/11.43  (step t225.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule or :premises (t225.t1))
% 11.25/11.43  (step t225.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t225.t2 t225.a0))
% 11.25/11.43  (step t225 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule subproof :discharge (t225.a0))
% 11.25/11.43  (step t226 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t224 t225))
% 11.25/11.43  (step t227 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule implies_neg2)
% 11.25/11.43  (step t228 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule resolution :premises (t226 t227))
% 11.25/11.43  (step t229 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule contraction :premises (t228))
% 11.25/11.43  (step t230 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule implies :premises (t229))
% 11.25/11.43  (step t231 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t230 a2))
% 11.25/11.43  (step t232 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t233)
% 11.25/11.43  (assume t233.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.25/11.43  (step t233.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))) :rule forall_inst :args ((:= X tptp.sk_c11)))
% 11.25/11.43  (step t233.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule or :premises (t233.t1))
% 11.25/11.43  (step t233.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule resolution :premises (t233.t2 t233.a0))
% 11.25/11.43  (step t233 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule subproof :discharge (t233.a0))
% 11.25/11.43  (step t234 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule resolution :premises (t232 t233))
% 11.25/11.43  (step t235 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))) :rule implies_neg2)
% 11.25/11.43  (step t236 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))) :rule resolution :premises (t234 t235))
% 11.25/11.43  (step t237 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))) :rule contraction :premises (t236))
% 11.25/11.43  (step t238 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule implies :premises (t237))
% 11.25/11.43  (step t239 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule resolution :premises (t238 t147))
% 11.25/11.43  (step t240 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t241)
% 11.25/11.43  (assume t241.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.25/11.43  (step t241.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule forall_inst :args ((:= X tptp.sk_c11)))
% 11.25/11.43  (step t241.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule or :premises (t241.t1))
% 11.25/11.43  (step t241.t3 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t241.t2 t241.a0))
% 11.25/11.43  (step t241 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule subproof :discharge (t241.a0))
% 11.25/11.43  (step t242 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t240 t241))
% 11.25/11.43  (step t243 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule implies_neg2)
% 11.25/11.43  (step t244 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule resolution :premises (t242 t243))
% 11.25/11.43  (step t245 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) :rule contraction :premises (t244))
% 11.25/11.43  (step t246 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule implies :premises (t245))
% 11.25/11.43  (step t247 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule resolution :premises (t246 t158))
% 11.25/11.43  (step t248 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t249)
% 11.25/11.43  (assume t249.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.25/11.43  (step t249.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule forall_inst :args ((:= X tptp.sk_c10)))
% 11.25/11.43  (step t249.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule or :premises (t249.t1))
% 11.25/11.43  (step t249.t3 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t249.t2 t249.a0))
% 11.25/11.43  (step t249 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule subproof :discharge (t249.a0))
% 11.25/11.43  (step t250 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t248 t249))
% 11.25/11.43  (step t251 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.43  (step t252 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t250 t251))
% 11.25/11.43  (step t253 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule contraction :premises (t252))
% 11.25/11.43  (step t254 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule implies :premises (t253))
% 11.25/11.43  (step t255 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t254 t158))
% 11.25/11.43  (step t256 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t257)
% 11.25/11.43  (assume t257.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.25/11.43  (step t257.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 11.25/11.43  (step t257.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t257.t1))
% 11.25/11.43  (step t257.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t257.t2 t257.a0))
% 11.25/11.43  (step t257 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t257.a0))
% 11.25/11.43  (step t258 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t256 t257))
% 11.25/11.43  (step t259 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 11.25/11.43  (step t260 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t258 t259))
% 11.25/11.43  (step t261 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t260))
% 11.25/11.43  (step t262 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t261))
% 11.25/11.43  (step t263 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t262 t158))
% 11.25/11.43  (step t264 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_neg)
% 11.25/11.43  (step t265 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t266)
% 11.25/11.43  (assume t266.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.43  (assume t266.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.43  (assume t266.a2 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.43  (assume t266.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.43  (assume t266.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.43  (step t266.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t266.t2)
% 11.25/11.43  (assume t266.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.43  (assume t266.t2.a1 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.43  (assume t266.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.43  (assume t266.t2.a3 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.43  (assume t266.t2.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.43  (step t266.t2.t1 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.43  (step t266.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t266.t2.a4 t266.t2.t1))
% 11.25/11.43  (step t266.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t266.t2.a4))
% 11.25/11.43  (step t266.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t266.t2.t3 t266.t2.a3))
% 11.25/11.43  (step t266.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t266.t2.a2))
% 11.25/11.43  (step t266.t2.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t266.t2.t5))
% 11.25/11.43  (step t266.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t266.t2.a3))
% 11.25/11.43  (step t266.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t266.t2.t6 t266.t2.t7))
% 11.25/11.43  (step t266.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t266.t2.a1))
% 11.25/11.43  (step t266.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t266.t2.t9))
% 11.25/11.43  (step t266.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.25/11.43  (step t266.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t266.t2.a0))
% 11.25/11.43  (step t266.t2.t13 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t266.t2.t12))
% 11.25/11.43  (step t266.t2.t14 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t266.t2.t13))
% 11.25/11.43  (step t266.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t266.t2.t11 t266.t2.t14))
% 11.25/11.43  (step t266.t2.t16 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule trans :premises (t266.t2.a3 t266.t2.t2 t266.t2.t4 t266.t2.t8 t266.t2.t10 t266.t2.t15))
% 11.25/11.43  (step t266.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule subproof :discharge (t266.t2.a0 t266.t2.a1 t266.t2.a2 t266.t2.a3 t266.t2.a4))
% 11.25/11.43  (step t266.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t266.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.43  (step t266.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t266.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t266.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.43  (step t266.t8 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t266.t2 t266.t3 t266.t4 t266.t5 t266.t6 t266.t7))
% 11.25/11.43  (step t266.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule reordering :premises (t266.t8))
% 11.25/11.43  (step t266.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule contraction :premises (t266.t9))
% 11.25/11.43  (step t266.t11 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule resolution :premises (t266.t1 t266.t10))
% 11.25/11.43  (step t266.t12 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.43  (step t266.t13 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule resolution :premises (t266.t11 t266.t12))
% 11.25/11.43  (step t266.t14 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule contraction :premises (t266.t13))
% 11.25/11.43  (step t266.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule implies :premises (t266.t14))
% 11.25/11.43  (step t266.t16 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.25/11.43  (step t266.t17 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t266.t16 t266.a0 t266.a4 t266.a3 t266.a2 t266.a1))
% 11.25/11.43  (step t266.t18 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule resolution :premises (t266.t15 t266.t17))
% 11.25/11.43  (step t266 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule subproof :discharge (t266.a0 t266.a1 t266.a2 t266.a3 t266.a4))
% 11.25/11.43  (step t267 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t268 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.43  (step t269 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t270 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t271 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.43  (step t272 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t266 t267 t268 t269 t270 t271))
% 11.25/11.43  (step t273 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule reordering :premises (t272))
% 11.25/11.43  (step t274 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule contraction :premises (t273))
% 11.25/11.43  (step t275 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule resolution :premises (t265 t274))
% 11.25/11.43  (step t276 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.43  (step t277 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule resolution :premises (t275 t276))
% 11.25/11.43  (step t278 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10)))) :rule contraction :premises (t277))
% 11.25/11.43  (step t279 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule implies :premises (t278))
% 11.25/11.43  (step t280 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule resolution :premises (t264 t279))
% 11.25/11.43  (step t281 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule and_neg)
% 11.25/11.43  (step t282 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t283)
% 11.25/11.43  (assume t283.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.43  (assume t283.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.43  (assume t283.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.43  (assume t283.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.43  (assume t283.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.43  (assume t283.a5 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.43  (assume t283.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.43  (assume t283.a7 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.43  (assume t283.a8 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.43  (assume t283.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.43  (assume t283.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.43  (assume t283.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.43  (assume t283.a12 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.43  (assume t283.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.43  (assume t283.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.43  (assume t283.a15 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.43  (assume t283.a16 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.43  (assume t283.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.43  (assume t283.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.43  (assume t283.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.43  (assume t283.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.43  (assume t283.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.43  (assume t283.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.43  (step t283.t1 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t283.t2)
% 11.25/11.43  (assume t283.t2.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.43  (assume t283.t2.a1 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.43  (assume t283.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.43  (assume t283.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.43  (assume t283.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.43  (assume t283.t2.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.43  (assume t283.t2.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.43  (assume t283.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.43  (assume t283.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.43  (assume t283.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.43  (assume t283.t2.a10 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.43  (assume t283.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.43  (assume t283.t2.a12 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.43  (assume t283.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.43  (assume t283.t2.a14 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.43  (assume t283.t2.a15 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.43  (assume t283.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.43  (assume t283.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.43  (assume t283.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.43  (assume t283.t2.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.43  (assume t283.t2.a20 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.43  (assume t283.t2.a21 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.43  (assume t283.t2.a22 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.43  (step t283.t2.t1 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t283.t2.a0))
% 11.25/11.43  (step t283.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t283.t2.a2))
% 11.25/11.43  (step t283.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.43  (step t283.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t283.t2.t2 t283.t2.t3))
% 11.25/11.43  (step t283.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule symm :premises (t283.t2.t4))
% 11.25/11.43  (step t283.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t283.t2.a1))
% 11.25/11.43  (step t283.t2.t7 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t283.t2.a2 t283.t2.t6))
% 11.25/11.43  (step t283.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t283.t2.t7))
% 11.25/11.43  (step t283.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t283.t2.a3))
% 11.25/11.43  (step t283.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t283.t2.t9 t283.t2.a1))
% 11.25/11.43  (step t283.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t283.t2.t10))
% 11.25/11.43  (step t283.t2.t12 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.25/11.43  (step t283.t2.t13 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t283.t2.a5))
% 11.25/11.43  (step t283.t2.t14 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t283.t2.t13))
% 11.25/11.43  (step t283.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t283.t2.t12 t283.t2.t14))
% 11.25/11.43  (step t283.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule symm :premises (t283.t2.t15))
% 11.25/11.43  (step t283.t2.t17 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t283.t2.t1))
% 11.25/11.43  (step t283.t2.t18 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.25/11.43  (step t283.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t283.t2.a7))
% 11.25/11.43  (step t283.t2.t20 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.43  (step t283.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t283.t2.t19 t283.t2.t20))
% 11.25/11.43  (step t283.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t283.t2.t21))
% 11.25/11.43  (step t283.t2.t23 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.43  (step t283.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t283.t2.t1 t283.t2.t20))
% 11.25/11.43  (step t283.t2.t25 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t283.t2.a1 t283.t2.t5 t283.t2.t8 t283.t2.t11 t283.t2.a4 t283.t2.t16 t283.t2.t24))
% 11.25/11.43  (step t283.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t283.t2.t23 t283.t2.t25))
% 11.25/11.43  (step t283.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t283.t2.t26))
% 11.25/11.43  (step t283.t2.t28 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t283.t2.a10))
% 11.25/11.43  (step t283.t2.t29 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t283.t2.t28))
% 11.25/11.43  (step t283.t2.t30 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t283.t2.t29 t283.t2.t18))
% 11.25/11.43  (step t283.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule symm :premises (t283.t2.t30))
% 11.25/11.43  (step t283.t2.t32 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t283.t2.a6 t283.t2.t22 t283.t2.a8 t283.t2.t27 t283.t2.t19 t283.t2.a9 t283.t2.t31))
% 11.25/11.43  (step t283.t2.t33 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule cong :premises (t283.t2.t18 t283.t2.t32))
% 11.25/11.43  (step t283.t2.t34 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t283.t2.a16))
% 11.25/11.43  (step t283.t2.t35 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t283.t2.a15))
% 11.25/11.43  (step t283.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule cong :premises (t283.t2.t35 t283.t2.t18))
% 11.25/11.43  (step t283.t2.t37 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t283.t2.a14))
% 11.25/11.43  (step t283.t2.t38 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t283.t2.t37))
% 11.25/11.43  (step t283.t2.t39 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule cong :premises (t283.t2.t38 t283.t2.t18))
% 11.25/11.43  (step t283.t2.t40 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule symm :premises (t283.t2.a13))
% 11.25/11.43  (step t283.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t283.t2.t40))
% 11.25/11.43  (step t283.t2.t42 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.25/11.43  (step t283.t2.t43 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t283.t2.a6 t283.t2.t22 t283.t2.a8 t283.t2.t27 t283.t2.t19))
% 11.25/11.43  (step t283.t2.t44 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t283.t2.t43 t283.t2.a11))
% 11.25/11.43  (step t283.t2.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t283.t2.a12))
% 11.25/11.43  (step t283.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t283.t2.t2 t283.t2.t18))
% 11.25/11.43  (step t283.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t283.t2.a11))
% 11.25/11.43  (step t283.t2.t48 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) tptp.sk_c5)) :rule trans :premises (t283.t2.t44 t283.t2.t45 t283.t2.t46 t283.t2.t47))
% 11.25/11.43  (step t283.t2.t49 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule cong :premises (t283.t2.t42 t283.t2.t48))
% 11.25/11.43  (step t283.t2.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t283.t2.a9))
% 11.25/11.43  (step t283.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t283.t2.a8))
% 11.25/11.43  (step t283.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t283.t2.a6))
% 11.25/11.43  (step t283.t2.t53 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t283.t2.t33 t283.t2.t34 t283.t2.t36 t283.t2.t39 t283.t2.t41 t283.t2.t49 t283.t2.t30 t283.t2.t50 t283.t2.a7 t283.t2.t26 t283.t2.t51 t283.t2.t21 t283.t2.t52))
% 11.25/11.43  (step t283.t2.t54 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t283.t2.t17 t283.t2.t53))
% 11.25/11.43  (step t283.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule symm :premises (t283.t2.t54))
% 11.25/11.43  (step t283.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule symm :premises (t283.t2.a17))
% 11.25/11.43  (step t283.t2.t57 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule trans :premises (t283.t2.t34 t283.t2.t36))
% 11.25/11.43  (step t283.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t283.t2.t57 t283.t2.t20))
% 11.25/11.43  (step t283.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule symm :premises (t283.t2.t58))
% 11.25/11.43  (step t283.t2.t60 (cl (= tptp.identity (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t283.t2.a9 t283.t2.t31))
% 11.25/11.43  (step t283.t2.t61 (cl (= tptp.identity tptp.sk_c10)) :rule symm :premises (t283.t2.t43))
% 11.25/11.43  (step t283.t2.t62 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t283.t2.t60 t283.t2.t61))
% 11.25/11.43  (step t283.t2.t63 (cl (= tptp.sk_c10 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) :rule trans :premises (t283.t2.a6 t283.t2.t22 t283.t2.a8 t283.t2.t27 t283.t2.t19 t283.t2.a2 t283.t2.t62))
% 11.25/11.43  (step t283.t2.t64 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule cong :premises (t283.t2.t18 t283.t2.t63))
% 11.25/11.43  (step t283.t2.t65 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule symm :premises (t283.t2.t64))
% 11.25/11.43  (step t283.t2.t66 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t283.t2.a20))
% 11.25/11.43  (step t283.t2.t67 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t283.t2.t66))
% 11.25/11.43  (step t283.t2.t68 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.25/11.43  (step t283.t2.t69 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t283.t2.a2 t283.t2.t68))
% 11.25/11.43  (step t283.t2.t70 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule symm :premises (t283.t2.a22))
% 11.25/11.43  (step t283.t2.t71 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule symm :premises (t283.t2.t70))
% 11.25/11.43  (step t283.t2.t72 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t283.t2.a7 t283.t2.t26 t283.t2.t51 t283.t2.t21 t283.t2.t52 t283.t2.t67))
% 11.25/11.43  (step t283.t2.t73 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t283.t2.a21))
% 11.25/11.43  (step t283.t2.t74 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t283.t2.t72 t283.t2.t73))
% 11.25/11.43  (step t283.t2.t75 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t283.t2.a19))
% 11.25/11.43  (step t283.t2.t76 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t283.t2.a21 t283.t2.t69 t283.t2.t71 t283.t2.t74 t283.t2.t75))
% 11.25/11.43  (step t283.t2.t77 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.identity))) :rule cong :premises (t283.t2.t76))
% 11.25/11.43  (step t283.t2.t78 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t283.t2.t49))
% 11.25/11.43  (step t283.t2.t79 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule symm :premises (t283.t2.t39))
% 11.25/11.43  (step t283.t2.t80 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t283.t2.t36))
% 11.25/11.43  (step t283.t2.t81 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule symm :premises (t283.t2.t33))
% 11.25/11.43  (step t283.t2.t82 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule symm :premises (t283.t2.a18))
% 11.25/11.43  (step t283.t2.t83 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule symm :premises (t283.t2.t56))
% 11.25/11.43  (step t283.t2.t84 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t283.t2.a4))
% 11.25/11.43  (step t283.t2.t85 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule trans :premises (t283.t2.a9 t283.t2.t31 t283.t2.t78 t283.t2.t40 t283.t2.t79 t283.t2.t80 t283.t2.a16 t283.t2.t81 t283.t2.t64 t283.t2.t82 t283.t2.t58 t283.t2.t83 t283.t2.t54 t283.t2.t15 t283.t2.t84 t283.t2.t10 t283.t2.t7 t283.t2.t4 t283.t2.t6 t283.t2.t17))
% 11.25/11.43  (step t283.t2.t86 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t283.t2.t85))
% 11.25/11.43  (step t283.t2.t87 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t283.t2.t1 t283.t2.a1 t283.t2.t5 t283.t2.t8 t283.t2.t11 t283.t2.a4 t283.t2.t16 t283.t2.t55 t283.t2.t56 t283.t2.t59 t283.t2.a18 t283.t2.t65 t283.t2.t33 t283.t2.t34 t283.t2.t36 t283.t2.t39 t283.t2.t41 t283.t2.t49 t283.t2.t30 t283.t2.t50 t283.t2.a7 t283.t2.t26 t283.t2.t51 t283.t2.t21 t283.t2.t52 t283.t2.t67 t283.t2.t77 t283.t2.t86))
% 11.25/11.43  (step t283.t2 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t283.t2.a0 t283.t2.a1 t283.t2.a2 t283.t2.a3 t283.t2.a4 t283.t2.a5 t283.t2.a6 t283.t2.a7 t283.t2.a8 t283.t2.a9 t283.t2.a10 t283.t2.a11 t283.t2.a12 t283.t2.a13 t283.t2.a14 t283.t2.a15 t283.t2.a16 t283.t2.a17 t283.t2.a18 t283.t2.a19 t283.t2.a20 t283.t2.a21 t283.t2.a22))
% 11.25/11.43  (step t283.t3 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t283.t4 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t283.t5 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.43  (step t283.t6 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t283.t7 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.43  (step t283.t8 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t283.t9 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t283.t10 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t283.t11 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t283.t12 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t283.t13 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t283.t14 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t283.t15 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t283.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t283.t17 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t283.t18 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.43  (step t283.t19 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t283.t20 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t283.t21 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t283.t22 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t283.t23 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t283.t24 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t283.t25 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.43  (step t283.t26 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))))) :rule resolution :premises (t283.t2 t283.t3 t283.t4 t283.t5 t283.t6 t283.t7 t283.t8 t283.t9 t283.t10 t283.t11 t283.t12 t283.t13 t283.t14 t283.t15 t283.t16 t283.t17 t283.t18 t283.t19 t283.t20 t283.t21 t283.t22 t283.t23 t283.t24 t283.t25))
% 11.25/11.43  (step t283.t27 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t283.t26))
% 11.25/11.43  (step t283.t28 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t283.t27))
% 11.25/11.43  (step t283.t29 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t283.t1 t283.t28))
% 11.25/11.43  (step t283.t30 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.43  (step t283.t31 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t283.t29 t283.t30))
% 11.25/11.43  (step t283.t32 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t283.t31))
% 11.25/11.43  (step t283.t33 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t283.t32))
% 11.25/11.43  (step t283.t34 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) :rule and_neg)
% 11.25/11.43  (step t283.t35 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) :rule resolution :premises (t283.t34 t283.a1 t283.a8 t283.a6 t283.a11 t283.a21 t283.a0 t283.a7 t283.a9 t283.a10 t283.a17 t283.a4 t283.a16 t283.a15 t283.a19 t283.a5 t283.a3 t283.a18 t283.a20 t283.a22 t283.a14 t283.a2 t283.a13 t283.a12))
% 11.25/11.43  (step t283.t36 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t283.t33 t283.t35))
% 11.25/11.43  (step t283 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t283.a0 t283.a1 t283.a2 t283.a3 t283.a4 t283.a5 t283.a6 t283.a7 t283.a8 t283.a9 t283.a10 t283.a11 t283.a12 t283.a13 t283.a14 t283.a15 t283.a16 t283.a17 t283.a18 t283.a19 t283.a20 t283.a21 t283.a22))
% 11.25/11.43  (step t284 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t285 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t286 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t287 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.43  (step t288 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t289 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t290 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.43  (step t291 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t292 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t293 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t294 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t295 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t296 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.43  (step t297 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t298 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t299 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t300 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t301 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t302 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t303 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t304 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t305 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.43  (step t306 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t307 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))))) :rule resolution :premises (t283 t284 t285 t286 t287 t288 t289 t290 t291 t292 t293 t294 t295 t296 t297 t298 t299 t300 t301 t302 t303 t304 t305 t306))
% 11.25/11.43  (step t308 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t307))
% 11.25/11.43  (step t309 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t308))
% 11.25/11.43  (step t310 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t282 t309))
% 11.25/11.43  (step t311 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.43  (step t312 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t310 t311))
% 11.25/11.43  (step t313 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t312))
% 11.25/11.43  (step t314 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t313))
% 11.25/11.43  (step t315 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t281 t314))
% 11.25/11.43  (step t316 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t317)
% 11.25/11.43  (assume t317.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.25/11.43  (step t317.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.25/11.43  (step t317.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t317.t1))
% 11.25/11.43  (step t317.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t317.t2 t317.a0))
% 11.25/11.43  (step t317 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t317.a0))
% 11.25/11.43  (step t318 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t316 t317))
% 11.25/11.43  (step t319 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg2)
% 11.25/11.43  (step t320 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t318 t319))
% 11.25/11.43  (step t321 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t320))
% 11.25/11.43  (step t322 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t321))
% 11.25/11.43  (step t323 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t322 t158))
% 11.25/11.43  (step t324 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t325)
% 11.25/11.43  (assume t325.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.43  (step t325.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y tptp.identity) (:= Z tptp.sk_c4)))
% 11.25/11.43  (step t325.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule or :premises (t325.t1))
% 11.25/11.43  (step t325.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t325.t2 t325.a0))
% 11.25/11.43  (step t325 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule subproof :discharge (t325.a0))
% 11.25/11.43  (step t326 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t324 t325))
% 11.25/11.43  (step t327 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) :rule implies_neg2)
% 11.25/11.43  (step t328 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) :rule resolution :premises (t326 t327))
% 11.25/11.43  (step t329 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))) :rule contraction :premises (t328))
% 11.25/11.43  (step t330 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies :premises (t329))
% 11.25/11.43  (step t331 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t330 a2))
% 11.25/11.43  (step t332 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t333)
% 11.25/11.43  (assume t333.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.43  (assume t333.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.43  (assume t333.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.43  (assume t333.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.43  (assume t333.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.43  (assume t333.a5 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.43  (assume t333.a6 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.43  (assume t333.a7 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.43  (assume t333.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.43  (assume t333.a9 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.43  (assume t333.a10 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.43  (assume t333.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.43  (assume t333.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.43  (assume t333.a13 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))))
% 11.25/11.43  (assume t333.a14 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.25/11.43  (assume t333.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.43  (assume t333.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.43  (assume t333.a17 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.43  (assume t333.a18 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.43  (assume t333.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.43  (assume t333.a20 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.43  (assume t333.a21 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.43  (assume t333.a22 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.43  (assume t333.a23 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))))
% 11.25/11.43  (assume t333.a24 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.43  (assume t333.a25 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.43  (assume t333.a26 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.43  (assume t333.a27 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.43  (assume t333.a28 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.43  (assume t333.a29 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.43  (step t333.t1 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule implies_neg1)
% 11.25/11.43  (anchor :step t333.t2)
% 11.25/11.43  (assume t333.t2.a0 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.25/11.43  (assume t333.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.43  (assume t333.t2.a2 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))))
% 11.25/11.43  (assume t333.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.43  (assume t333.t2.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.43  (assume t333.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.43  (assume t333.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.43  (assume t333.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.43  (assume t333.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.43  (assume t333.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.43  (assume t333.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.43  (assume t333.t2.a11 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.43  (assume t333.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))))
% 11.25/11.43  (assume t333.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.43  (assume t333.t2.a14 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.43  (assume t333.t2.a15 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.43  (assume t333.t2.a16 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.43  (assume t333.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.43  (assume t333.t2.a18 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.43  (assume t333.t2.a19 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.43  (assume t333.t2.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.43  (assume t333.t2.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.43  (assume t333.t2.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.43  (assume t333.t2.a23 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.43  (assume t333.t2.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.43  (assume t333.t2.a25 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.43  (assume t333.t2.a26 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.43  (assume t333.t2.a27 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.43  (assume t333.t2.a28 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.43  (assume t333.t2.a29 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.43  (step t333.t2.t1 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t333.t2.a8))
% 11.25/11.43  (step t333.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t333.t2.a1))
% 11.25/11.43  (step t333.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.43  (step t333.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t333.t2.t2 t333.t2.t3))
% 11.25/11.43  (step t333.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule symm :premises (t333.t2.t4))
% 11.25/11.43  (step t333.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t333.t2.a4))
% 11.25/11.43  (step t333.t2.t7 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t333.t2.a1 t333.t2.t6))
% 11.25/11.43  (step t333.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t333.t2.t7))
% 11.25/11.43  (step t333.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t333.t2.a5))
% 11.25/11.43  (step t333.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t333.t2.t9 t333.t2.a4))
% 11.25/11.43  (step t333.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t333.t2.t10))
% 11.25/11.43  (step t333.t2.t12 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.25/11.43  (step t333.t2.t13 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t333.t2.a7))
% 11.25/11.43  (step t333.t2.t14 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t333.t2.t13))
% 11.25/11.43  (step t333.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t333.t2.t12 t333.t2.t14))
% 11.25/11.43  (step t333.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule symm :premises (t333.t2.t15))
% 11.25/11.43  (step t333.t2.t17 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t333.t2.t1))
% 11.25/11.43  (step t333.t2.t18 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.25/11.43  (step t333.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t333.t2.a3))
% 11.25/11.43  (step t333.t2.t20 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.43  (step t333.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t333.t2.t19 t333.t2.t20))
% 11.25/11.43  (step t333.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t333.t2.t21))
% 11.25/11.43  (step t333.t2.t23 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.43  (step t333.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t333.t2.t1 t333.t2.t20))
% 11.25/11.43  (step t333.t2.t25 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t333.t2.a4 t333.t2.t5 t333.t2.t8 t333.t2.t11 t333.t2.a6 t333.t2.t16 t333.t2.t24))
% 11.25/11.43  (step t333.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t333.t2.t23 t333.t2.t25))
% 11.25/11.43  (step t333.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t333.t2.t26))
% 11.25/11.43  (step t333.t2.t28 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t333.t2.a14))
% 11.25/11.43  (step t333.t2.t29 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t333.t2.t28))
% 11.25/11.43  (step t333.t2.t30 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t333.t2.t29 t333.t2.t18))
% 11.25/11.43  (step t333.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule symm :premises (t333.t2.t30))
% 11.25/11.43  (step t333.t2.t32 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t333.t2.a10 t333.t2.t22 t333.t2.a9 t333.t2.t27 t333.t2.t19 t333.t2.a13 t333.t2.t31))
% 11.25/11.43  (step t333.t2.t33 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule cong :premises (t333.t2.t18 t333.t2.t32))
% 11.25/11.43  (step t333.t2.t34 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t333.t2.a20))
% 11.25/11.43  (step t333.t2.t35 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t333.t2.a19))
% 11.25/11.43  (step t333.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule cong :premises (t333.t2.t35 t333.t2.t18))
% 11.25/11.43  (step t333.t2.t37 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t333.t2.a18))
% 11.25/11.43  (step t333.t2.t38 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t333.t2.t37))
% 11.25/11.43  (step t333.t2.t39 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule cong :premises (t333.t2.t38 t333.t2.t18))
% 11.25/11.43  (step t333.t2.t40 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule symm :premises (t333.t2.a17))
% 11.25/11.43  (step t333.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t333.t2.t40))
% 11.25/11.43  (step t333.t2.t42 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.25/11.43  (step t333.t2.t43 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t333.t2.a10 t333.t2.t22 t333.t2.a9 t333.t2.t27 t333.t2.t19))
% 11.25/11.43  (step t333.t2.t44 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t333.t2.t43 t333.t2.a15))
% 11.25/11.43  (step t333.t2.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t333.t2.a16))
% 11.25/11.43  (step t333.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t333.t2.t2 t333.t2.t18))
% 11.25/11.43  (step t333.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t333.t2.a15))
% 11.25/11.43  (step t333.t2.t48 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) tptp.sk_c5)) :rule trans :premises (t333.t2.t44 t333.t2.t45 t333.t2.t46 t333.t2.t47))
% 11.25/11.43  (step t333.t2.t49 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule cong :premises (t333.t2.t42 t333.t2.t48))
% 11.25/11.43  (step t333.t2.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t333.t2.a13))
% 11.25/11.43  (step t333.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t333.t2.a9))
% 11.25/11.43  (step t333.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t333.t2.a10))
% 11.25/11.43  (step t333.t2.t53 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t333.t2.t33 t333.t2.t34 t333.t2.t36 t333.t2.t39 t333.t2.t41 t333.t2.t49 t333.t2.t30 t333.t2.t50 t333.t2.a3 t333.t2.t26 t333.t2.t51 t333.t2.t21 t333.t2.t52))
% 11.25/11.43  (step t333.t2.t54 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t333.t2.t17 t333.t2.t53))
% 11.25/11.43  (step t333.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule symm :premises (t333.t2.t54))
% 11.25/11.43  (step t333.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule symm :premises (t333.t2.a22))
% 11.25/11.43  (step t333.t2.t57 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule trans :premises (t333.t2.t34 t333.t2.t36))
% 11.25/11.43  (step t333.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t333.t2.t57 t333.t2.t20))
% 11.25/11.43  (step t333.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule symm :premises (t333.t2.t58))
% 11.25/11.43  (step t333.t2.t60 (cl (= tptp.identity (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t333.t2.a13 t333.t2.t31))
% 11.25/11.43  (step t333.t2.t61 (cl (= tptp.identity tptp.sk_c10)) :rule symm :premises (t333.t2.t43))
% 11.25/11.43  (step t333.t2.t62 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t333.t2.t60 t333.t2.t61))
% 11.25/11.43  (step t333.t2.t63 (cl (= tptp.sk_c10 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) :rule trans :premises (t333.t2.a10 t333.t2.t22 t333.t2.a9 t333.t2.t27 t333.t2.t19 t333.t2.a1 t333.t2.t62))
% 11.25/11.43  (step t333.t2.t64 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule cong :premises (t333.t2.t18 t333.t2.t63))
% 11.25/11.43  (step t333.t2.t65 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule symm :premises (t333.t2.t64))
% 11.25/11.43  (step t333.t2.t66 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t333.t2.a23))
% 11.25/11.43  (step t333.t2.t67 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t333.t2.t66 t333.t2.t20))
% 11.25/11.43  (step t333.t2.t68 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule symm :premises (t333.t2.t67))
% 11.25/11.43  (step t333.t2.t69 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t333.t2.a25))
% 11.25/11.43  (step t333.t2.t70 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t333.t2.t69))
% 11.25/11.43  (step t333.t2.t71 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t333.t2.a3 t333.t2.t26 t333.t2.t51 t333.t2.t21 t333.t2.t52 t333.t2.t70))
% 11.25/11.43  (step t333.t2.t72 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t333.t2.a27))
% 11.25/11.43  (step t333.t2.t73 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t333.t2.a26))
% 11.25/11.43  (step t333.t2.t74 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule symm :premises (t333.t2.t73))
% 11.25/11.43  (step t333.t2.t75 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule trans :premises (t333.t2.t72 t333.t2.t74))
% 11.25/11.43  (step t333.t2.t76 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule cong :premises (t333.t2.t71 t333.t2.t75))
% 11.25/11.43  (step t333.t2.t77 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule symm :premises (t333.t2.t76))
% 11.25/11.43  (step t333.t2.t78 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t333.t2.t61 t333.t2.a11))
% 11.25/11.43  (step t333.t2.t79 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule cong :premises (t333.t2.t78 t333.t2.t72))
% 11.25/11.43  (step t333.t2.t80 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t333.t2.a29))
% 11.25/11.43  (step t333.t2.t81 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule symm :premises (t333.t2.t80))
% 11.25/11.43  (step t333.t2.t82 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.43  (step t333.t2.t83 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.43  (step t333.t2.t84 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule cong :premises (t333.t2.a1 t333.t2.t83))
% 11.25/11.43  (step t333.t2.t85 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t333.t2.a28))
% 11.25/11.43  (step t333.t2.t86 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule symm :premises (t333.t2.t85))
% 11.25/11.43  (step t333.t2.t87 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule symm :premises (t333.t2.a24))
% 11.25/11.43  (step t333.t2.t88 (cl (= tptp.sk_c9 tptp.sk_c10)) :rule trans :premises (t333.t2.a27 t333.t2.t84 t333.t2.t86 t333.t2.t76 t333.t2.t87 t333.t2.t67 t333.t2.t52))
% 11.25/11.43  (step t333.t2.t89 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t333.t2.t17 t333.t2.t88))
% 11.25/11.43  (step t333.t2.t90 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.identity)) :rule trans :premises (t333.t2.t89 t333.t2.t55 t333.t2.t56 t333.t2.t59 t333.t2.a21 t333.t2.t65 t333.t2.t33 t333.t2.t34 t333.t2.t36 t333.t2.t39 t333.t2.t41 t333.t2.t49 t333.t2.t30 t333.t2.t50))
% 11.25/11.43  (step t333.t2.t91 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t333.t2.t82 t333.t2.t90))
% 11.25/11.43  (step t333.t2.t92 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.25/11.43  (step t333.t2.t93 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.sk_c11 tptp.sk_c3))) :rule cong :premises (t333.t2.t1 t333.t2.t92))
% 11.25/11.43  (step t333.t2.t94 (cl (= tptp.identity (tptp.multiply tptp.sk_c11 tptp.sk_c3))) :rule trans :premises (t333.t2.a5 t333.t2.t93))
% 11.25/11.43  (step t333.t2.t95 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule cong :premises (t333.t2.t82 t333.t2.t94))
% 11.25/11.43  (step t333.t2.t96 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3))) :rule symm :premises (t333.t2.a12))
% 11.25/11.43  (step t333.t2.t97 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t333.t2.a11))
% 11.25/11.43  (step t333.t2.t98 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t333.t2.t97 t333.t2.t14))
% 11.25/11.43  (step t333.t2.t99 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c3))) :rule cong :premises (t333.t2.t98 t333.t2.t92))
% 11.25/11.43  (step t333.t2.t100 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.identity)) :rule trans :premises (t333.t2.t13 t333.t2.t43))
% 11.25/11.43  (step t333.t2.t101 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t333.t2.t100 t333.t2.a0))
% 11.25/11.43  (step t333.t2.t102 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3))) :rule symm :premises (t333.t2.a2))
% 11.25/11.43  (step t333.t2.t103 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t333.t2.t2 t333.t2.t92))
% 11.25/11.43  (step t333.t2.t104 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t333.t2.a0))
% 11.25/11.43  (step t333.t2.t105 (cl (= tptp.identity tptp.sk_c3)) :rule trans :premises (t333.t2.a3 t333.t2.t26 t333.t2.t51 t333.t2.t21 t333.t2.t68 t333.t2.a24 t333.t2.t77 t333.t2.t79 t333.t2.t81 t333.t2.t91 t333.t2.t95 t333.t2.t96 t333.t2.t99 t333.t2.t101 t333.t2.t102 t333.t2.t103 t333.t2.t104))
% 11.25/11.43  (step t333.t2.t106 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t333.t2.t49))
% 11.25/11.43  (step t333.t2.t107 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule symm :premises (t333.t2.t39))
% 11.25/11.43  (step t333.t2.t108 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t333.t2.t36))
% 11.25/11.43  (step t333.t2.t109 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule symm :premises (t333.t2.t33))
% 11.25/11.43  (step t333.t2.t110 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule symm :premises (t333.t2.a21))
% 11.25/11.43  (step t333.t2.t111 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule symm :premises (t333.t2.t56))
% 11.25/11.43  (step t333.t2.t112 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t333.t2.a6))
% 11.25/11.43  (step t333.t2.t113 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule trans :premises (t333.t2.a13 t333.t2.t31 t333.t2.t106 t333.t2.t40 t333.t2.t107 t333.t2.t108 t333.t2.a20 t333.t2.t109 t333.t2.t64 t333.t2.t110 t333.t2.t58 t333.t2.t111 t333.t2.t54 t333.t2.t15 t333.t2.t112 t333.t2.t10 t333.t2.t7 t333.t2.t4 t333.t2.t6 t333.t2.t17))
% 11.25/11.43  (step t333.t2.t114 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t333.t2.t105 t333.t2.t113))
% 11.25/11.43  (step t333.t2.t115 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t333.t2.t1 t333.t2.a4 t333.t2.t5 t333.t2.t8 t333.t2.t11 t333.t2.a6 t333.t2.t16 t333.t2.t55 t333.t2.t56 t333.t2.t59 t333.t2.a21 t333.t2.t65 t333.t2.t33 t333.t2.t34 t333.t2.t36 t333.t2.t39 t333.t2.t41 t333.t2.t49 t333.t2.t30 t333.t2.t50 t333.t2.a1 t333.t2.t114))
% 11.25/11.43  (step t333.t2 (cl (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t333.t2.a0 t333.t2.a1 t333.t2.a2 t333.t2.a3 t333.t2.a4 t333.t2.a5 t333.t2.a6 t333.t2.a7 t333.t2.a8 t333.t2.a9 t333.t2.a10 t333.t2.a11 t333.t2.a12 t333.t2.a13 t333.t2.a14 t333.t2.a15 t333.t2.a16 t333.t2.a17 t333.t2.a18 t333.t2.a19 t333.t2.a20 t333.t2.a21 t333.t2.a22 t333.t2.a23 t333.t2.a24 t333.t2.a25 t333.t2.a26 t333.t2.a27 t333.t2.a28 t333.t2.a29))
% 11.25/11.43  (step t333.t3 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t333.t4 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.43  (step t333.t5 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule and_pos)
% 11.25/11.43  (step t333.t6 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t333.t7 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t333.t8 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t333.t9 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.43  (step t333.t10 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t333.t11 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t333.t12 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t333.t13 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t333.t14 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t333.t15 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule and_pos)
% 11.25/11.43  (step t333.t16 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t333.t17 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t333.t18 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t333.t19 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t333.t20 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t333.t21 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t333.t22 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.43  (step t333.t23 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.43  (step t333.t24 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t333.t25 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t333.t26 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t333.t27 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t333.t28 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t333.t29 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t333.t30 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.43  (step t333.t31 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.43  (step t333.t32 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.43  (step t333.t33 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))))) :rule resolution :premises (t333.t2 t333.t3 t333.t4 t333.t5 t333.t6 t333.t7 t333.t8 t333.t9 t333.t10 t333.t11 t333.t12 t333.t13 t333.t14 t333.t15 t333.t16 t333.t17 t333.t18 t333.t19 t333.t20 t333.t21 t333.t22 t333.t23 t333.t24 t333.t25 t333.t26 t333.t27 t333.t28 t333.t29 t333.t30 t333.t31 t333.t32))
% 11.25/11.43  (step t333.t34 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t333.t33))
% 11.25/11.43  (step t333.t35 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t333.t34))
% 11.25/11.43  (step t333.t36 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t333.t1 t333.t35))
% 11.25/11.43  (step t333.t37 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.43  (step t333.t38 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t333.t36 t333.t37))
% 11.25/11.43  (step t333.t39 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t333.t38))
% 11.25/11.43  (step t333.t40 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t333.t39))
% 11.25/11.43  (step t333.t41 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule and_neg)
% 11.25/11.43  (step t333.t42 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule resolution :premises (t333.t41 t333.a14 t333.a8 t333.a13 t333.a11 t333.a10 t333.a15 t333.a28 t333.a1 t333.a2 t333.a12 t333.a9 t333.a0 t333.a23 t333.a22 t333.a6 t333.a21 t333.a20 t333.a25 t333.a7 t333.a5 t333.a24 t333.a29 t333.a26 t333.a16 t333.a27 t333.a4 t333.a3 t333.a18 t333.a17 t333.a19))
% 11.25/11.43  (step t333.t43 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t333.t40 t333.t42))
% 11.25/11.43  (step t333 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t333.a0 t333.a1 t333.a2 t333.a3 t333.a4 t333.a5 t333.a6 t333.a7 t333.a8 t333.a9 t333.a10 t333.a11 t333.a12 t333.a13 t333.a14 t333.a15 t333.a16 t333.a17 t333.a18 t333.a19 t333.a20 t333.a21 t333.a22 t333.a23 t333.a24 t333.a25 t333.a26 t333.a27 t333.a28 t333.a29))
% 11.25/11.43  (step t334 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t335 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t336 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t337 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t338 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.43  (step t339 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.43  (step t340 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.43  (step t341 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t342 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.43  (step t343 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.43  (step t344 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t345 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.43  (step t346 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.43  (step t347 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule and_pos)
% 11.25/11.43  (step t348 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t349 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.43  (step t350 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t351 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.44  (step t352 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.44  (step t353 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.44  (step t354 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t355 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t356 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t357 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) :rule and_pos)
% 11.25/11.44  (step t358 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t359 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t360 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t361 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t362 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.44  (step t363 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t364 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))))) :rule resolution :premises (t333 t334 t335 t336 t337 t338 t339 t340 t341 t342 t343 t344 t345 t346 t347 t348 t349 t350 t351 t352 t353 t354 t355 t356 t357 t358 t359 t360 t361 t362 t363))
% 11.25/11.44  (step t365 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t364))
% 11.25/11.44  (step t366 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t365))
% 11.25/11.44  (step t367 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t332 t366))
% 11.25/11.44  (step t368 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.44  (step t369 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t367 t368))
% 11.25/11.44  (step t370 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t369))
% 11.25/11.44  (step t371 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t370))
% 11.25/11.44  (step t372 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c3) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t40 t371))
% 11.25/11.44  (step t373 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t374)
% 11.25/11.44  (assume t374.a0 (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))
% 11.25/11.44  (step t374.t1 (cl (or (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule forall_inst :args ((:= X5 tptp.sk_c3) (:= X7 tptp.sk_c3)))
% 11.25/11.44  (step t374.t2 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule or :premises (t374.t1))
% 11.25/11.44  (step t374.t3 (cl (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t374.t2 t374.a0))
% 11.25/11.44  (step t374 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule subproof :discharge (t374.a0))
% 11.25/11.44  (step t375 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t373 t374))
% 11.25/11.44  (step t376 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule implies_neg2)
% 11.25/11.44  (step t377 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t375 t376))
% 11.25/11.44  (step t378 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))))) :rule contraction :premises (t377))
% 11.25/11.44  (step t379 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies :premises (t378))
% 11.25/11.44  (step t380 (cl (not (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c11)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) (not (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c11)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule equiv_pos2)
% 11.25/11.44  (anchor :step t381 :args ((X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X1 $$unsorted) (:= X1 X1) (X2 $$unsorted) (:= X2 X2) (X5 $$unsorted) (:= X5 X5) (X6 $$unsorted) (:= X6 X6) (X7 $$unsorted) (:= X7 X7) (X8 $$unsorted) (:= X8 X8)))
% 11.25/11.44  (step t381.t1 (cl (= X3 X3)) :rule refl)
% 11.25/11.44  (step t381.t2 (cl (= X4 X4)) :rule refl)
% 11.25/11.44  (step t381.t3 (cl (= X1 X1)) :rule refl)
% 11.25/11.44  (step t381.t4 (cl (= X2 X2)) :rule refl)
% 11.25/11.44  (step t381.t5 (cl (= X5 X5)) :rule refl)
% 11.25/11.44  (step t381.t6 (cl (= X6 X6)) :rule refl)
% 11.25/11.44  (step t381.t7 (cl (= X7 X7)) :rule refl)
% 11.25/11.44  (step t381.t8 (cl (= X8 X8)) :rule refl)
% 11.25/11.44  (step t381.t9 (cl (= (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11)))) :rule all_simplify)
% 11.25/11.44  (step t381.t10 (cl (= (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))))) :rule cong :premises (t381.t9))
% 11.25/11.44  (step t381.t11 (cl (= (= (tptp.inverse X3) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse X3)))) :rule all_simplify)
% 11.25/11.44  (step t381.t12 (cl (= (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.inverse X3))))) :rule cong :premises (t381.t11))
% 11.25/11.44  (step t381.t13 (cl (= (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule all_simplify)
% 11.25/11.44  (step t381.t14 (cl (= (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule cong :premises (t381.t13))
% 11.25/11.44  (step t381.t15 (cl (= (= (tptp.multiply X4 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11)))) :rule all_simplify)
% 11.25/11.44  (step t381.t16 (cl (= (not (= (tptp.multiply X4 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))))) :rule cong :premises (t381.t15))
% 11.25/11.44  (step t381.t17 (cl (= (= (tptp.inverse X4) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse X4)))) :rule all_simplify)
% 11.25/11.44  (step t381.t18 (cl (= (not (= (tptp.inverse X4) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.inverse X4))))) :rule cong :premises (t381.t17))
% 11.25/11.44  (step t381.t19 (cl (= (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11)))) :rule all_simplify)
% 11.25/11.44  (step t381.t20 (cl (= (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))))) :rule cong :premises (t381.t19))
% 11.25/11.44  (step t381.t21 (cl (= (= (tptp.inverse X1) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse X1)))) :rule all_simplify)
% 11.25/11.44  (step t381.t22 (cl (= (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.inverse X1))))) :rule cong :premises (t381.t21))
% 11.25/11.44  (step t381.t23 (cl (= (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10)))) :rule all_simplify)
% 11.25/11.44  (step t381.t24 (cl (= (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))))) :rule cong :premises (t381.t23))
% 11.25/11.44  (step t381.t25 (cl (= (= (tptp.inverse X2) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse X2)))) :rule all_simplify)
% 11.25/11.44  (step t381.t26 (cl (= (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse X2))))) :rule cong :premises (t381.t25))
% 11.25/11.44  (step t381.t27 (cl (= (= (tptp.multiply X5 X6) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply X5 X6)))) :rule all_simplify)
% 11.25/11.44  (step t381.t28 (cl (= (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply X5 X6))))) :rule cong :premises (t381.t27))
% 11.25/11.44  (step t381.t29 (cl (= (= (tptp.inverse X5) X6) (= X6 (tptp.inverse X5)))) :rule all_simplify)
% 11.25/11.44  (step t381.t30 (cl (= (not (= (tptp.inverse X5) X6)) (not (= X6 (tptp.inverse X5))))) :rule cong :premises (t381.t29))
% 11.25/11.44  (step t381.t31 (cl (= (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10)))) :rule all_simplify)
% 11.25/11.44  (step t381.t32 (cl (= (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))))) :rule cong :premises (t381.t31))
% 11.25/11.44  (step t381.t33 (cl (= (= (tptp.inverse X7) X8) (= X8 (tptp.inverse X7)))) :rule all_simplify)
% 11.25/11.44  (step t381.t34 (cl (= (not (= (tptp.inverse X7) X8)) (not (= X8 (tptp.inverse X7))))) :rule cong :premises (t381.t33))
% 11.25/11.44  (step t381.t35 (cl (= (= (tptp.inverse X8) X6) (= X6 (tptp.inverse X8)))) :rule all_simplify)
% 11.25/11.44  (step t381.t36 (cl (= (not (= (tptp.inverse X8) X6)) (not (= X6 (tptp.inverse X8))))) :rule cong :premises (t381.t35))
% 11.25/11.44  (step t381.t37 (cl (= (= (tptp.multiply X7 X6) X8) (= X8 (tptp.multiply X7 X6)))) :rule all_simplify)
% 11.25/11.44  (step t381.t38 (cl (= (not (= (tptp.multiply X7 X6) X8)) (not (= X8 (tptp.multiply X7 X6))))) :rule cong :premises (t381.t37))
% 11.25/11.44  (step t381.t39 (cl (= (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c11)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8))) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6)))))) :rule cong :premises (t381.t10 t381.t12 t381.t14 t381.t16 t381.t18 t381.t20 t381.t22 t381.t24 t381.t26 t381.t28 t381.t30 t381.t32 t381.t34 t381.t36 t381.t38))
% 11.25/11.44  (step t381 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c11)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))))) :rule bind)
% 11.25/11.44  (step t382 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6)))))))) :rule all_simplify)
% 11.25/11.44  (step t383 (cl (= (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule refl)
% 11.25/11.44  (step t384 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))))) :rule refl)
% 11.25/11.44  (step t385 (cl (= (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))))) :rule refl)
% 11.25/11.44  (step t386 (cl (= (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) :rule refl)
% 11.25/11.44  (step t387 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))) :rule refl)
% 11.25/11.44  (step t388 (cl (= (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= (tptp.inverse X5) (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X7) (tptp.inverse X7))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule all_simplify)
% 11.25/11.44  (anchor :step t389 :args ((X5 $$unsorted) (:= X5 X5) (X7 $$unsorted) (:= X7 X7)))
% 11.25/11.44  (step t389.t1 (cl (= X5 X5)) :rule refl)
% 11.25/11.44  (step t389.t2 (cl (= X7 X7)) :rule refl)
% 11.25/11.44  (step t389.t3 (cl (= (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))))) :rule refl)
% 11.25/11.44  (step t389.t4 (cl (= (= (tptp.inverse X5) (tptp.inverse X5)) true)) :rule all_simplify)
% 11.25/11.44  (step t389.t5 (cl (= (not (= (tptp.inverse X5) (tptp.inverse X5))) (not true))) :rule cong :premises (t389.t4))
% 11.25/11.44  (step t389.t6 (cl (= (not true) false)) :rule all_simplify)
% 11.25/11.44  (step t389.t7 (cl (= (not (= (tptp.inverse X5) (tptp.inverse X5))) false)) :rule trans :premises (t389.t5 t389.t6))
% 11.25/11.44  (step t389.t8 (cl (= (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))))) :rule refl)
% 11.25/11.44  (step t389.t9 (cl (= (= (tptp.inverse X7) (tptp.inverse X7)) true)) :rule all_simplify)
% 11.25/11.44  (step t389.t10 (cl (= (not (= (tptp.inverse X7) (tptp.inverse X7))) (not true))) :rule cong :premises (t389.t9))
% 11.25/11.44  (step t389.t11 (cl (= (not (= (tptp.inverse X7) (tptp.inverse X7))) false)) :rule trans :premises (t389.t10 t389.t6))
% 11.25/11.44  (step t389.t12 (cl (= (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))))) :rule refl)
% 11.25/11.44  (step t389.t13 (cl (= (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) :rule refl)
% 11.25/11.44  (step t389.t14 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= (tptp.inverse X5) (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X7) (tptp.inverse X7))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) false (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) false (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule cong :premises (t389.t3 t389.t7 t389.t8 t389.t11 t389.t12 t389.t13))
% 11.25/11.44  (step t389.t15 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) false (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) false (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule all_simplify)
% 11.25/11.44  (step t389.t16 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= (tptp.inverse X5) (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X7) (tptp.inverse X7))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule trans :premises (t389.t14 t389.t15))
% 11.25/11.44  (step t389 (cl (= (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= (tptp.inverse X5) (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X7) (tptp.inverse X7))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule bind)
% 11.25/11.44  (step t390 (cl (= (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule trans :premises (t388 t389))
% 11.25/11.44  (step t391 (cl (= (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) :rule cong :premises (t383 t384 t385 t386 t387 t390))
% 11.25/11.44  (step t392 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) :rule trans :premises (t382 t391))
% 11.25/11.44  (step t393 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c11)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) :rule trans :premises (t381 t392))
% 11.25/11.44  (step t394 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule resolution :premises (t380 t393 a53))
% 11.25/11.44  (step t395 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t394))
% 11.25/11.44  (step t396 (cl (not (= (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))))) (not (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule equiv_pos2)
% 11.25/11.44  (step t397 (cl (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule all_simplify)
% 11.25/11.44  (step t398 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) :rule cong :premises (t397))
% 11.25/11.44  (step t399 (cl (= (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule refl)
% 11.25/11.44  (step t400 (cl (= (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (or (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule cong :premises (t398 t399))
% 11.25/11.44  (step t401 (cl (= (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))))) :rule cong :premises (t385 t400))
% 11.25/11.44  (step t402 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t403)
% 11.25/11.44  (assume t403.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))))
% 11.25/11.44  (step t403.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X4 tptp.sk_c3)))
% 11.25/11.44  (step t403.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t403.t1))
% 11.25/11.44  (step t403.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t403.t2 t403.a0))
% 11.25/11.44  (step t403 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t403.a0))
% 11.25/11.44  (step t404 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t402 t403))
% 11.25/11.44  (step t405 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.25/11.44  (step t406 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t404 t405))
% 11.25/11.44  (step t407 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t406))
% 11.25/11.44  (step t408 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t396 t401 t407))
% 11.25/11.44  (step t409 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t408))
% 11.25/11.44  (step t410 (cl (not (or (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule or_pos)
% 11.25/11.44  (step t411 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (or (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t410))
% 11.25/11.44  (step t412 (cl (not (= (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule equiv_pos2)
% 11.25/11.44  (step t413 (cl (= (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule refl)
% 11.25/11.44  (step t414 (cl (= (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule refl)
% 11.25/11.44  (step t415 (cl (= (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule refl)
% 11.25/11.44  (step t416 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule refl)
% 11.25/11.44  (step t417 (cl (= (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule refl)
% 11.25/11.44  (step t418 (cl (= (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule refl)
% 11.25/11.44  (step t419 (cl (= (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule refl)
% 11.25/11.44  (step t420 (cl (= (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))) :rule refl)
% 11.25/11.44  (step t421 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))))) :rule refl)
% 11.25/11.44  (step t422 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))))) :rule refl)
% 11.25/11.44  (step t423 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule refl)
% 11.25/11.44  (step t424 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule refl)
% 11.25/11.44  (step t425 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))))) :rule refl)
% 11.25/11.44  (step t426 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule refl)
% 11.25/11.44  (step t427 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))))) :rule refl)
% 11.25/11.44  (step t428 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule refl)
% 11.25/11.44  (step t429 (cl (= (= (= (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) true) (= (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) :rule equiv_simplify)
% 11.25/11.44  (step t430 (cl (not (= (= (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) true)) (= (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule equiv1 :premises (t429))
% 11.25/11.44  (step t431 (cl (= (= (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))))) :rule all_simplify)
% 11.25/11.44  (step t432 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule refl)
% 11.25/11.44  (step t433 (cl (= (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule all_simplify)
% 11.25/11.44  (step t434 (cl (= (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) :rule cong :premises (t432 t433))
% 11.25/11.44  (step t435 (cl (= (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) true)) :rule all_simplify)
% 11.25/11.44  (step t436 (cl (= (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) true)) :rule trans :premises (t434 t435))
% 11.25/11.44  (step t437 (cl (= (= (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) true)) :rule trans :premises (t431 t436))
% 11.25/11.44  (step t438 (cl (= (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule resolution :premises (t430 t437))
% 11.25/11.44  (step t439 (cl (= (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) :rule cong :premises (t413 t414 t415 t416 t417 t418 t419 t420 t421 t422 t423 t424 t425 t426 t427 t428 t438))
% 11.25/11.44  (step t440 (cl (not (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))))) (not (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))))) :rule equiv_pos2)
% 11.25/11.44  (step t441 (cl (= (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))))) :rule refl)
% 11.25/11.44  (step t442 (cl (= (= (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))))) :rule equiv_simplify)
% 11.25/11.44  (step t443 (cl (= (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false) (not (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))))) :rule equiv2 :premises (t442))
% 11.25/11.44  (step t444 (cl (not (not (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule not_not)
% 11.25/11.44  (step t445 (cl (= (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t443 t444))
% 11.25/11.44  (step t446 (cl (=> (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t447)
% 11.25/11.44  (assume t447.a0 (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))
% 11.25/11.44  (assume t447.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.44  (assume t447.a2 (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))
% 11.25/11.44  (assume t447.a3 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.44  (assume t447.a4 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.44  (step t447.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 11.25/11.44  (step t447.t2 (cl (= (= true false) false)) :rule all_simplify)
% 11.25/11.44  (step t447.t3 (cl (= (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) true) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule equiv_simplify)
% 11.25/11.44  (step t447.t4 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) true) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule equiv2 :premises (t447.t3))
% 11.25/11.44  (step t447.t5 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t447.a1))
% 11.25/11.44  (step t447.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t447.a4))
% 11.25/11.44  (step t447.t7 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t447.a3))
% 11.25/11.44  (step t447.t8 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t447.t7))
% 11.25/11.44  (step t447.t9 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t447.a2))
% 11.25/11.44  (step t447.t10 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule symm :premises (t447.t9))
% 11.25/11.44  (step t447.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c9)) :rule trans :premises (t447.t6 t447.t8 t447.t10))
% 11.25/11.44  (step t447.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule trans :premises (t447.t5 t447.a4 t447.t11))
% 11.25/11.44  (step t447.t13 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) true)) :rule resolution :premises (t447.t4 t447.t12))
% 11.25/11.44  (step t447.t14 (cl (= true (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t447.t13))
% 11.25/11.44  (step t447.t15 (cl (= (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) false) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) :rule equiv_simplify)
% 11.25/11.44  (step t447.t16 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) false) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) :rule equiv2 :premises (t447.t15))
% 11.25/11.44  (step t447.t17 (cl (not (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule not_not)
% 11.25/11.44  (step t447.t18 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) false) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t447.t16 t447.t17))
% 11.25/11.44  (step t447.t19 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) false)) :rule resolution :premises (t447.t18 t447.a0))
% 11.25/11.44  (step t447.t20 (cl (= true false)) :rule trans :premises (t447.t14 t447.t19))
% 11.25/11.44  (step t447.t21 (cl false) :rule resolution :premises (t447.t1 t447.t2 t447.t20))
% 11.25/11.44  (step t447 (cl (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false) :rule subproof :discharge (t447.a0 t447.a1 t447.a2 t447.a3 t447.a4))
% 11.25/11.44  (step t448 (cl (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule and_pos)
% 11.25/11.44  (step t449 (cl (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t450 (cl (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule and_pos)
% 11.25/11.44  (step t451 (cl (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t452 (cl (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t453 (cl false (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule resolution :premises (t447 t448 t449 t450 t451 t452))
% 11.25/11.44  (step t454 (cl (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) false) :rule reordering :premises (t453))
% 11.25/11.44  (step t455 (cl (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) false) :rule contraction :premises (t454))
% 11.25/11.44  (step t456 (cl (=> (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false) false) :rule resolution :premises (t446 t455))
% 11.25/11.44  (step t457 (cl (=> (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false) (not false)) :rule implies_neg2)
% 11.25/11.44  (step t458 (cl (=> (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false) (=> (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false)) :rule resolution :premises (t456 t457))
% 11.25/11.44  (step t459 (cl (=> (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false)) :rule contraction :premises (t458))
% 11.25/11.44  (step t460 (cl (= (=> (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))))) :rule implies_simplify)
% 11.25/11.44  (step t461 (cl (not (=> (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false)) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule equiv1 :premises (t460))
% 11.25/11.44  (step t462 (cl (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule resolution :premises (t459 t461))
% 11.25/11.44  (step t463 (cl (= (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) false)) :rule resolution :premises (t445 t462))
% 11.25/11.44  (step t464 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) false))) :rule cong :premises (t441 t463))
% 11.25/11.44  (step t465 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) false) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))))) :rule all_simplify)
% 11.25/11.44  (step t466 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))))) :rule trans :premises (t464 t465))
% 11.25/11.44  (step t467 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t468)
% 11.25/11.44  (assume t468.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.44  (assume t468.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.44  (assume t468.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.44  (assume t468.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.44  (assume t468.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.44  (assume t468.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.44  (assume t468.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.44  (assume t468.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.44  (assume t468.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.44  (assume t468.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.44  (assume t468.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.44  (assume t468.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.44  (assume t468.a12 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.44  (assume t468.a13 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.44  (assume t468.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.44  (assume t468.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.44  (assume t468.a16 (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))
% 11.25/11.44  (step t468.t1 (cl (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_neg)
% 11.25/11.44  (step t468.t2 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t468.t3)
% 11.25/11.44  (assume t468.t3.a0 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.44  (assume t468.t3.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.44  (assume t468.t3.a2 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.44  (assume t468.t3.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.44  (assume t468.t3.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.44  (assume t468.t3.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.44  (assume t468.t3.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.44  (assume t468.t3.a7 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.44  (assume t468.t3.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.44  (assume t468.t3.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.44  (assume t468.t3.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.44  (assume t468.t3.a11 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.44  (assume t468.t3.a12 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.44  (assume t468.t3.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.44  (assume t468.t3.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.44  (assume t468.t3.a15 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.44  (step t468.t3.t1 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t468.t3.a15))
% 11.25/11.44  (step t468.t3.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t468.t3.a10))
% 11.25/11.44  (step t468.t3.t3 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t468.t3.t2))
% 11.25/11.44  (step t468.t3.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t468.t3.a14))
% 11.25/11.44  (step t468.t3.t5 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t468.t3.t4))
% 11.25/11.44  (step t468.t3.t6 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.44  (step t468.t3.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule cong :premises (t468.t3.t5 t468.t3.t6))
% 11.25/11.44  (step t468.t3.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule symm :premises (t468.t3.a13))
% 11.25/11.44  (step t468.t3.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule symm :premises (t468.t3.t8))
% 11.25/11.44  (step t468.t3.t10 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t468.t3.a11))
% 11.25/11.44  (step t468.t3.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t468.t3.a3 t468.t3.t6))
% 11.25/11.44  (step t468.t3.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t468.t3.a9))
% 11.25/11.44  (step t468.t3.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t468.t3.t12))
% 11.25/11.44  (step t468.t3.t14 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.44  (step t468.t3.t15 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t468.t3.a8))
% 11.25/11.44  (step t468.t3.t16 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t468.t3.t15))
% 11.25/11.44  (step t468.t3.t17 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t468.t3.t16 t468.t3.t6))
% 11.25/11.44  (step t468.t3.t18 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.25/11.44  (step t468.t3.t19 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t468.t3.a7))
% 11.25/11.44  (step t468.t3.t20 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t468.t3.t19))
% 11.25/11.44  (step t468.t3.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t468.t3.t18 t468.t3.t20))
% 11.25/11.44  (step t468.t3.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t468.t3.a6))
% 11.25/11.44  (step t468.t3.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t468.t3.a5))
% 11.25/11.44  (step t468.t3.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t468.t3.t23 t468.t3.a4))
% 11.25/11.44  (step t468.t3.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t468.t3.a4))
% 11.25/11.44  (step t468.t3.t26 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t468.t3.a1 t468.t3.t25))
% 11.25/11.44  (step t468.t3.t27 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t468.t3.a1))
% 11.25/11.44  (step t468.t3.t28 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.44  (step t468.t3.t29 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t468.t3.t27 t468.t3.t28))
% 11.25/11.44  (step t468.t3.t30 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11)) :rule trans :premises (t468.t3.t17 t468.t3.t21 t468.t3.t22 t468.t3.t24 t468.t3.t26 t468.t3.t29 t468.t3.t25))
% 11.25/11.44  (step t468.t3.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t468.t3.t14 t468.t3.t30))
% 11.25/11.44  (step t468.t3.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t468.t3.a3))
% 11.25/11.44  (step t468.t3.t33 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t468.t3.t10 t468.t3.t3 t468.t3.t11 t468.t3.t13 t468.t3.t31 t468.t3.t32))
% 11.25/11.44  (step t468.t3.t34 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t468.t3.a12))
% 11.25/11.44  (step t468.t3.t35 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c9))) :rule trans :premises (t468.t3.t34 t468.t3.a0))
% 11.25/11.44  (step t468.t3.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t468.t3.t33 t468.t3.t35))
% 11.25/11.44  (step t468.t3.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t468.t3.a2))
% 11.25/11.44  (step t468.t3.t38 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.44  (step t468.t3.t39 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t468.t3.t27 t468.t3.t38))
% 11.25/11.44  (step t468.t3.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t468.t3.a0))
% 11.25/11.44  (step t468.t3.t41 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule trans :premises (t468.t3.t1 t468.t3.t3 t468.t3.t7 t468.t3.t9 t468.t3.t36 t468.t3.t37 t468.t3.t39 t468.t3.t40))
% 11.25/11.44  (step t468.t3 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule subproof :discharge (t468.t3.a0 t468.t3.a1 t468.t3.a2 t468.t3.a3 t468.t3.a4 t468.t3.a5 t468.t3.a6 t468.t3.a7 t468.t3.a8 t468.t3.a9 t468.t3.a10 t468.t3.a11 t468.t3.a12 t468.t3.a13 t468.t3.a14 t468.t3.a15))
% 11.25/11.44  (step t468.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.44  (step t468.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.44  (step t468.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.44  (step t468.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t468.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t468.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.44  (step t468.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.44  (step t468.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t468.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.44  (step t468.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t468.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t468.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t468.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t468.t17 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t468.t18 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t468.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t468.t20 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule resolution :premises (t468.t3 t468.t4 t468.t5 t468.t6 t468.t7 t468.t8 t468.t9 t468.t10 t468.t11 t468.t12 t468.t13 t468.t14 t468.t15 t468.t16 t468.t17 t468.t18 t468.t19))
% 11.25/11.44  (step t468.t21 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule reordering :premises (t468.t20))
% 11.25/11.44  (step t468.t22 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule contraction :premises (t468.t21))
% 11.25/11.44  (step t468.t23 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t468.t2 t468.t22))
% 11.25/11.44  (step t468.t24 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule implies_neg2)
% 11.25/11.44  (step t468.t25 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule resolution :premises (t468.t23 t468.t24))
% 11.25/11.44  (step t468.t26 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule contraction :premises (t468.t25))
% 11.25/11.44  (step t468.t27 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule implies :premises (t468.t26))
% 11.25/11.44  (step t468.t28 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_neg)
% 11.25/11.44  (step t468.t29 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule resolution :premises (t468.t28 t468.a13 t468.a5 t468.a12 t468.a8 t468.a7 t468.a10 t468.a15 t468.a1 t468.a2 t468.a9 t468.a6 t468.a4 t468.a3 t468.a14 t468.a11 t468.a0))
% 11.25/11.44  (step t468.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t468.t27 t468.t29))
% 11.25/11.44  (step t468.t31 (cl (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t468.t1 t468.a16 t468.a1 t468.t30 t468.a0 t468.a6))
% 11.25/11.44  (step t468 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule subproof :discharge (t468.a0 t468.a1 t468.a2 t468.a3 t468.a4 t468.a5 t468.a6 t468.a7 t468.a8 t468.a9 t468.a10 t468.a11 t468.a12 t468.a13 t468.a14 t468.a15 t468.a16))
% 11.25/11.44  (step t469 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t470 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t471 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.44  (step t472 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t473 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t474 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.44  (step t475 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t476 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t477 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t478 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t479 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.44  (step t480 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t481 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.44  (step t482 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.44  (step t483 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t484 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.44  (step t485 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule and_pos)
% 11.25/11.44  (step t486 (cl (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))))) :rule resolution :premises (t468 t469 t470 t471 t472 t473 t474 t475 t476 t477 t478 t479 t480 t481 t482 t483 t484 t485))
% 11.25/11.44  (step t487 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule reordering :premises (t486))
% 11.25/11.44  (step t488 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule contraction :premises (t487))
% 11.25/11.44  (step t489 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t467 t488))
% 11.25/11.44  (step t490 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (not (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule implies_neg2)
% 11.25/11.44  (step t491 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule resolution :premises (t489 t490))
% 11.25/11.44  (step t492 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) (and (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule contraction :premises (t491))
% 11.25/11.44  (step t493 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))))) :rule resolution :premises (t440 t466 t492))
% 11.25/11.44  (step t494 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) :rule not_and :premises (t493))
% 11.25/11.44  (step t495 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule or_neg)
% 11.25/11.44  (step t496 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule or_neg)
% 11.25/11.44  (step t497 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 11.25/11.44  (step t498 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule or_neg)
% 11.25/11.44  (step t499 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule or_neg)
% 11.25/11.44  (step t500 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule or_neg)
% 11.25/11.44  (step t501 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule or_neg)
% 11.25/11.44  (step t502 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))) :rule or_neg)
% 11.25/11.44  (step t503 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))))) :rule or_neg)
% 11.25/11.44  (step t504 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))))) :rule or_neg)
% 11.25/11.44  (step t505 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule or_neg)
% 11.25/11.44  (step t506 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule or_neg)
% 11.25/11.44  (step t507 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))))) :rule or_neg)
% 11.25/11.44  (step t508 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))))) :rule or_neg)
% 11.25/11.44  (step t509 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))))) :rule or_neg)
% 11.25/11.44  (step t510 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule or_neg)
% 11.25/11.44  (step t511 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (not (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))))) :rule or_neg)
% 11.25/11.44  (step t512 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))))) :rule resolution :premises (t494 t495 t496 t497 t498 t499 t500 t501 t502 t503 t504 t505 t506 t507 t508 t509 t510 t511))
% 11.25/11.44  (step t513 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))))) :rule contraction :premises (t512))
% 11.25/11.44  (step t514 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule resolution :premises (t412 t439 t513))
% 11.25/11.44  (step t515 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule or :premises (t514))
% 11.25/11.44  (step t516 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule and_neg)
% 11.25/11.44  (step t517 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t518)
% 11.25/11.44  (assume t518.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.44  (assume t518.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.44  (assume t518.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.44  (assume t518.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.44  (assume t518.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.44  (assume t518.a5 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.44  (assume t518.a6 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.44  (assume t518.a7 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.44  (assume t518.a8 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.44  (assume t518.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.44  (assume t518.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.44  (assume t518.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.44  (assume t518.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.44  (assume t518.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.44  (assume t518.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.44  (assume t518.a15 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.44  (assume t518.a16 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.44  (assume t518.a17 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.44  (assume t518.a18 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.44  (assume t518.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.44  (assume t518.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.44  (assume t518.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.44  (assume t518.a22 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.44  (assume t518.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.44  (assume t518.a24 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.44  (step t518.t1 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t518.t2)
% 11.25/11.44  (assume t518.t2.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.44  (assume t518.t2.a1 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.44  (assume t518.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.44  (assume t518.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.44  (assume t518.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.44  (assume t518.t2.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.44  (assume t518.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.44  (assume t518.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.44  (assume t518.t2.a8 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.44  (assume t518.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.44  (assume t518.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.44  (assume t518.t2.a11 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.44  (assume t518.t2.a12 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.44  (assume t518.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.44  (assume t518.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.44  (assume t518.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.44  (assume t518.t2.a16 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.44  (assume t518.t2.a17 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.44  (assume t518.t2.a18 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.44  (assume t518.t2.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.44  (assume t518.t2.a20 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.44  (assume t518.t2.a21 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.44  (assume t518.t2.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.44  (assume t518.t2.a23 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.44  (assume t518.t2.a24 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.44  (step t518.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t518.t2.a10))
% 11.25/11.44  (step t518.t2.t2 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t518.t2.t1))
% 11.25/11.44  (step t518.t2.t3 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.44  (step t518.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t518.t2.a4 t518.t2.t3))
% 11.25/11.44  (step t518.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t518.t2.a9))
% 11.25/11.44  (step t518.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t518.t2.t5))
% 11.25/11.44  (step t518.t2.t7 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.44  (step t518.t2.t8 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t518.t2.a0))
% 11.25/11.44  (step t518.t2.t9 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t518.t2.t8))
% 11.25/11.44  (step t518.t2.t10 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t518.t2.t9 t518.t2.t3))
% 11.25/11.44  (step t518.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.25/11.44  (step t518.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t518.t2.a8))
% 11.25/11.44  (step t518.t2.t13 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t518.t2.t12))
% 11.25/11.44  (step t518.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t518.t2.t11 t518.t2.t13))
% 11.25/11.44  (step t518.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t518.t2.a7))
% 11.25/11.44  (step t518.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t518.t2.a6))
% 11.25/11.44  (step t518.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t518.t2.t16 t518.t2.a5))
% 11.25/11.44  (step t518.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t518.t2.a5))
% 11.25/11.44  (step t518.t2.t19 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t518.t2.a2 t518.t2.t18))
% 11.25/11.44  (step t518.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t518.t2.a2))
% 11.25/11.44  (step t518.t2.t21 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.44  (step t518.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t518.t2.t20 t518.t2.t21))
% 11.25/11.44  (step t518.t2.t23 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11)) :rule trans :premises (t518.t2.t10 t518.t2.t14 t518.t2.t15 t518.t2.t17 t518.t2.t19 t518.t2.t22 t518.t2.t18))
% 11.25/11.44  (step t518.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t518.t2.t7 t518.t2.t23))
% 11.25/11.44  (step t518.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t518.t2.a4))
% 11.25/11.44  (step t518.t2.t26 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t518.t2.a16))
% 11.25/11.44  (step t518.t2.t27 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t518.t2.t26))
% 11.25/11.44  (step t518.t2.t28 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.25/11.44  (step t518.t2.t29 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t518.t2.t27 t518.t2.t28))
% 11.25/11.44  (step t518.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule symm :premises (t518.t2.t29))
% 11.25/11.44  (step t518.t2.t31 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.25/11.44  (step t518.t2.t32 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t518.t2.t2 t518.t2.t4 t518.t2.t6 t518.t2.t24 t518.t2.t25))
% 11.25/11.44  (step t518.t2.t33 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t518.t2.t32 t518.t2.a17))
% 11.25/11.44  (step t518.t2.t34 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t518.t2.a18))
% 11.25/11.44  (step t518.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t518.t2.t20 t518.t2.t28))
% 11.25/11.44  (step t518.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t518.t2.a17))
% 11.25/11.44  (step t518.t2.t37 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) tptp.sk_c5)) :rule trans :premises (t518.t2.t33 t518.t2.t34 t518.t2.t35 t518.t2.t36))
% 11.25/11.44  (step t518.t2.t38 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule cong :premises (t518.t2.t31 t518.t2.t37))
% 11.25/11.44  (step t518.t2.t39 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t518.t2.t38))
% 11.25/11.44  (step t518.t2.t40 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule symm :premises (t518.t2.a19))
% 11.25/11.44  (step t518.t2.t41 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t518.t2.a20))
% 11.25/11.44  (step t518.t2.t42 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t518.t2.t41))
% 11.25/11.44  (step t518.t2.t43 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule cong :premises (t518.t2.t42 t518.t2.t28))
% 11.25/11.44  (step t518.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule symm :premises (t518.t2.t43))
% 11.25/11.44  (step t518.t2.t45 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t518.t2.a21))
% 11.25/11.44  (step t518.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule cong :premises (t518.t2.t45 t518.t2.t28))
% 11.25/11.44  (step t518.t2.t47 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t518.t2.t46))
% 11.25/11.44  (step t518.t2.t48 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t518.t2.t2 t518.t2.t4 t518.t2.t6 t518.t2.t24 t518.t2.t25 t518.t2.a15 t518.t2.t30))
% 11.25/11.44  (step t518.t2.t49 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule cong :premises (t518.t2.t28 t518.t2.t48))
% 11.25/11.44  (step t518.t2.t50 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule symm :premises (t518.t2.t49))
% 11.25/11.44  (step t518.t2.t51 (cl (= tptp.identity (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t518.t2.a15 t518.t2.t30))
% 11.25/11.44  (step t518.t2.t52 (cl (= tptp.identity tptp.sk_c10)) :rule symm :premises (t518.t2.t32))
% 11.25/11.44  (step t518.t2.t53 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t518.t2.t51 t518.t2.t52))
% 11.25/11.44  (step t518.t2.t54 (cl (= tptp.sk_c10 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) :rule trans :premises (t518.t2.t2 t518.t2.t4 t518.t2.t6 t518.t2.t24 t518.t2.t25 t518.t2.a2 t518.t2.t53))
% 11.25/11.44  (step t518.t2.t55 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule cong :premises (t518.t2.t28 t518.t2.t54))
% 11.25/11.44  (step t518.t2.t56 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule symm :premises (t518.t2.a24))
% 11.25/11.44  (step t518.t2.t57 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t518.t2.a22))
% 11.25/11.44  (step t518.t2.t58 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule trans :premises (t518.t2.t57 t518.t2.t46))
% 11.25/11.44  (step t518.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t518.t2.t58 t518.t2.t3))
% 11.25/11.44  (step t518.t2.t60 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule symm :premises (t518.t2.a23))
% 11.25/11.44  (step t518.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule symm :premises (t518.t2.t60))
% 11.25/11.44  (step t518.t2.t62 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t518.t2.t40))
% 11.25/11.44  (step t518.t2.t63 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t518.t2.a15))
% 11.25/11.44  (step t518.t2.t64 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t518.t2.t24))
% 11.25/11.44  (step t518.t2.t65 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t518.t2.t4))
% 11.25/11.44  (step t518.t2.t66 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t518.t2.t49 t518.t2.t57 t518.t2.t46 t518.t2.t43 t518.t2.t62 t518.t2.t38 t518.t2.t29 t518.t2.t63 t518.t2.a4 t518.t2.t64 t518.t2.t5 t518.t2.t65 t518.t2.t1))
% 11.25/11.44  (step t518.t2.t67 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t518.t2.t9 t518.t2.t66))
% 11.25/11.44  (step t518.t2.t68 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t518.t2.a14))
% 11.25/11.44  (step t518.t2.t69 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t518.t2.t68))
% 11.25/11.44  (step t518.t2.t70 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule cong :premises (t518.t2.t69 t518.t2.t3))
% 11.25/11.44  (step t518.t2.t71 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule symm :premises (t518.t2.a13))
% 11.25/11.44  (step t518.t2.t72 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule symm :premises (t518.t2.t71))
% 11.25/11.44  (step t518.t2.t73 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t518.t2.a11))
% 11.25/11.44  (step t518.t2.t74 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t518.t2.t73))
% 11.25/11.44  (step t518.t2.t75 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t518.t2.t74))
% 11.25/11.44  (step t518.t2.t76 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t518.t2.t75 t518.t2.t2 t518.t2.t4 t518.t2.t6 t518.t2.t24 t518.t2.t25))
% 11.25/11.44  (step t518.t2.t77 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t518.t2.a12))
% 11.25/11.44  (step t518.t2.t78 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule symm :premises (t518.t2.t77))
% 11.25/11.44  (step t518.t2.t79 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t518.t2.t78))
% 11.25/11.44  (step t518.t2.t80 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c9))) :rule trans :premises (t518.t2.t79 t518.t2.a1))
% 11.25/11.44  (step t518.t2.t81 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t518.t2.t76 t518.t2.t80))
% 11.25/11.44  (step t518.t2.t82 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t518.t2.a3))
% 11.25/11.44  (step t518.t2.t83 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule symm :premises (t518.t2.t82))
% 11.25/11.44  (step t518.t2.t84 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t518.t2.t83))
% 11.25/11.44  (step t518.t2.t85 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.44  (step t518.t2.t86 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t518.t2.t20 t518.t2.t85))
% 11.25/11.44  (step t518.t2.t87 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t518.t2.a1))
% 11.25/11.44  (step t518.t2.t88 (cl (= tptp.sk_c10 tptp.sk_c9)) :rule trans :premises (t518.t2.t2 t518.t2.t70 t518.t2.t72 t518.t2.t81 t518.t2.t84 t518.t2.t86 t518.t2.t87))
% 11.25/11.44  (step t518.t2.t89 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule cong :premises (t518.t2.t8 t518.t2.t88))
% 11.25/11.44  (step t518.t2.t90 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t518.t2.t2 t518.t2.t4 t518.t2.t6 t518.t2.t24 t518.t2.t25 t518.t2.a15 t518.t2.t30 t518.t2.t39 t518.t2.t40 t518.t2.t44 t518.t2.t47 t518.t2.a22 t518.t2.t50 t518.t2.t55 t518.t2.t56 t518.t2.t59 t518.t2.t61 t518.t2.t67 t518.t2.t89))
% 11.25/11.44  (step t518.t2 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule subproof :discharge (t518.t2.a0 t518.t2.a1 t518.t2.a2 t518.t2.a3 t518.t2.a4 t518.t2.a5 t518.t2.a6 t518.t2.a7 t518.t2.a8 t518.t2.a9 t518.t2.a10 t518.t2.a11 t518.t2.a12 t518.t2.a13 t518.t2.a14 t518.t2.a15 t518.t2.a16 t518.t2.a17 t518.t2.a18 t518.t2.a19 t518.t2.a20 t518.t2.a21 t518.t2.a22 t518.t2.a23 t518.t2.a24))
% 11.25/11.44  (step t518.t3 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.44  (step t518.t4 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.44  (step t518.t5 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.44  (step t518.t6 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.44  (step t518.t7 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t518.t8 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t518.t9 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.44  (step t518.t10 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.44  (step t518.t11 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t518.t12 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t518.t13 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t518.t14 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t518.t15 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t518.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t518.t17 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t518.t18 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t518.t19 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t518.t20 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t518.t21 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t518.t22 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t518.t23 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t518.t24 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.44  (step t518.t25 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t518.t26 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t518.t27 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t518.t28 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))))) :rule resolution :premises (t518.t2 t518.t3 t518.t4 t518.t5 t518.t6 t518.t7 t518.t8 t518.t9 t518.t10 t518.t11 t518.t12 t518.t13 t518.t14 t518.t15 t518.t16 t518.t17 t518.t18 t518.t19 t518.t20 t518.t21 t518.t22 t518.t23 t518.t24 t518.t25 t518.t26 t518.t27))
% 11.25/11.44  (step t518.t29 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t518.t28))
% 11.25/11.44  (step t518.t30 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule contraction :premises (t518.t29))
% 11.25/11.44  (step t518.t31 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t518.t1 t518.t30))
% 11.25/11.44  (step t518.t32 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule implies_neg2)
% 11.25/11.44  (step t518.t33 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule resolution :premises (t518.t31 t518.t32))
% 11.25/11.44  (step t518.t34 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule contraction :premises (t518.t33))
% 11.25/11.44  (step t518.t35 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule implies :premises (t518.t34))
% 11.25/11.44  (step t518.t36 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule and_neg)
% 11.25/11.44  (step t518.t37 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule resolution :premises (t518.t36 t518.a1 t518.a15 t518.a7 t518.a14 t518.a10 t518.a9 t518.a12 t518.a23 t518.a0 t518.a11 t518.a8 t518.a3 t518.a2 t518.a22 t518.a13 t518.a18 t518.a5 t518.a17 t518.a16 t518.a20 t518.a6 t518.a4 t518.a19 t518.a21 t518.a24))
% 11.25/11.44  (step t518.t38 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t518.t35 t518.t37))
% 11.25/11.44  (step t518 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule subproof :discharge (t518.a0 t518.a1 t518.a2 t518.a3 t518.a4 t518.a5 t518.a6 t518.a7 t518.a8 t518.a9 t518.a10 t518.a11 t518.a12 t518.a13 t518.a14 t518.a15 t518.a16 t518.a17 t518.a18 t518.a19 t518.a20 t518.a21 t518.a22 t518.a23 t518.a24))
% 11.25/11.44  (step t519 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t520 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.44  (step t521 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t522 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t523 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.44  (step t524 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t525 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t526 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.44  (step t527 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t528 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t529 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t530 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t531 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.44  (step t532 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t533 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.44  (step t534 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.44  (step t535 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t536 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t537 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t538 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t539 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t540 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t541 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t542 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.44  (step t543 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t544 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))))) :rule resolution :premises (t518 t519 t520 t521 t522 t523 t524 t525 t526 t527 t528 t529 t530 t531 t532 t533 t534 t535 t536 t537 t538 t539 t540 t541 t542 t543))
% 11.25/11.44  (step t545 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t544))
% 11.25/11.44  (step t546 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule contraction :premises (t545))
% 11.25/11.44  (step t547 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t517 t546))
% 11.25/11.44  (step t548 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule implies_neg2)
% 11.25/11.44  (step t549 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule resolution :premises (t547 t548))
% 11.25/11.44  (step t550 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule contraction :premises (t549))
% 11.25/11.44  (step t551 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule implies :premises (t550))
% 11.25/11.44  (step t552 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t516 t551))
% 11.25/11.44  (step t553 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule reordering :premises (t552))
% 11.25/11.44  (step t554 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) :rule hole :args ((forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (= X3 X1)))
% 11.25/11.44  (step t555 (cl (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) :rule equiv2 :premises (t554))
% 11.25/11.44  (step t556 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t557)
% 11.25/11.44  (assume t557.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))
% 11.25/11.44  (step t557.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X2 tptp.sk_c4)))
% 11.25/11.44  (step t557.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule or :premises (t557.t1))
% 11.25/11.44  (step t557.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t557.t2 t557.a0))
% 11.25/11.44  (step t557 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t557.a0))
% 11.25/11.44  (step t558 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t556 t557))
% 11.25/11.44  (step t559 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 11.25/11.44  (step t560 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t558 t559))
% 11.25/11.44  (step t561 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t560))
% 11.25/11.44  (step t562 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t561))
% 11.25/11.44  (step t563 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t2 t81 t89 t97 t105 t113 t121 t129 t137 t148 t159 t167 t175 t183 t191 t199 t207 t215 t223 t231 t239 t247 t255 t263 t280 t97 t207 t247 t263 t315 t89 t97 t113 t121 t129 t148 t159 t167 t199 t323 t331 t207 t231 t239 t247 t255 t263 t372 t89 t97 t105 t113 t121 t129 t137 t148 t159 t167 t175 t183 t191 t199 t207 t215 t223 t231 t239 t247 t255 t263 t379 t395 t409 t411 t515 t97 t105 t183 t191 t199 t207 t231 t239 t247 t255 t263 t553 t89 t97 t105 t113 t121 t129 t148 t159 t167 t183 t191 t199 t207 t231 t239 t247 t255 t263 t555 t562))
% 11.25/11.44  (step t564 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule contraction :premises (t563))
% 11.25/11.44  (step t565 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t566)
% 11.25/11.44  (assume t566.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))))
% 11.25/11.44  (step t566.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X3 tptp.sk_c3)))
% 11.25/11.44  (step t566.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t566.t1))
% 11.25/11.44  (step t566.t3 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t566.t2 t566.a0))
% 11.25/11.44  (step t566 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t566.a0))
% 11.25/11.44  (step t567 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t565 t566))
% 11.25/11.44  (step t568 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.25/11.44  (step t569 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t567 t568))
% 11.25/11.44  (step t570 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t569))
% 11.25/11.44  (step t571 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t570))
% 11.25/11.44  (step t572 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule or_pos)
% 11.25/11.44  (step t573 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule reordering :premises (t572))
% 11.25/11.44  (step t574 (cl (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule or_pos)
% 11.25/11.44  (step t575 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t574))
% 11.25/11.44  (step t576 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t564 t571 t573 t575))
% 11.25/11.44  (step t577 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule contraction :premises (t576))
% 11.25/11.44  (step t578 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.25/11.44  (step t579 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 11.25/11.44  (step t580 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 11.25/11.44  (step t581 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t579 t580))
% 11.25/11.44  (step t582 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t578 t581 a14))
% 11.25/11.44  (step t583 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t582))
% 11.25/11.44  (step t584 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t583))
% 11.25/11.44  (step t585 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.25/11.44  (step t586 (cl (= (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule all_simplify)
% 11.25/11.44  (step t587 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t579 t586))
% 11.25/11.44  (step t588 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t585 t587 a17))
% 11.25/11.44  (step t589 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t588))
% 11.25/11.44  (step t590 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t589))
% 11.25/11.44  (step t591 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.25/11.44  (step t592 (cl (= (= (tptp.inverse tptp.sk_c5) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule all_simplify)
% 11.25/11.44  (step t593 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t579 t592))
% 11.25/11.44  (step t594 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t591 t593 a18))
% 11.25/11.44  (step t595 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t594))
% 11.25/11.44  (step t596 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t595))
% 11.25/11.44  (step t597 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule equiv_pos2)
% 11.25/11.44  (step t598 (cl (= (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule all_simplify)
% 11.25/11.44  (step t599 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule cong :premises (t579 t598))
% 11.25/11.44  (step t600 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t597 t599 a19))
% 11.25/11.44  (step t601 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule or :premises (t600))
% 11.25/11.44  (step t602 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t601))
% 11.25/11.44  (step t603 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.25/11.44  (step t604 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 11.25/11.44  (step t605 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t579 t604))
% 11.25/11.44  (step t606 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t603 t605 a16))
% 11.25/11.44  (step t607 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t606))
% 11.25/11.44  (step t608 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t607))
% 11.25/11.44  (step t609 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.25/11.44  (step t610 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule all_simplify)
% 11.25/11.44  (step t611 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t579 t610))
% 11.25/11.44  (step t612 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t609 t611 a15))
% 11.25/11.44  (step t613 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t612))
% 11.25/11.44  (step t614 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t613))
% 11.25/11.44  (step t615 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.25/11.44  (step t616 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t579 t36))
% 11.25/11.44  (step t617 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t615 t616 a13))
% 11.25/11.44  (step t618 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t617))
% 11.25/11.44  (step t619 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t618))
% 11.25/11.44  (step t620 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t577 t584 t590 t596 t602 t608 t614 t619))
% 11.25/11.44  (step t621 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t620))
% 11.25/11.44  (step t622 (cl (not (= (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule equiv_pos2)
% 11.25/11.44  (step t623 (cl (= (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule refl)
% 11.25/11.44  (step t624 (cl (= (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule refl)
% 11.25/11.44  (step t625 (cl (= (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule refl)
% 11.25/11.44  (step t626 (cl (= (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule refl)
% 11.25/11.44  (step t627 (cl (= (= (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) true) (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule equiv_simplify)
% 11.25/11.44  (step t628 (cl (not (= (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) true)) (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule equiv1 :premises (t627))
% 11.25/11.44  (step t629 (cl (= (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))))) :rule all_simplify)
% 11.25/11.44  (step t630 (cl (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule refl)
% 11.25/11.44  (step t631 (cl (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule all_simplify)
% 11.25/11.44  (step t632 (cl (= (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule cong :premises (t630 t631))
% 11.25/11.44  (step t633 (cl (= (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) true)) :rule all_simplify)
% 11.25/11.44  (step t634 (cl (= (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) true)) :rule trans :premises (t632 t633))
% 11.25/11.44  (step t635 (cl (= (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) true)) :rule trans :premises (t629 t634))
% 11.25/11.44  (step t636 (cl (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule resolution :premises (t628 t635))
% 11.25/11.44  (step t637 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule refl)
% 11.25/11.44  (step t638 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))))) :rule refl)
% 11.25/11.44  (step t639 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))))) :rule refl)
% 11.25/11.44  (step t640 (cl (= (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule refl)
% 11.25/11.44  (step t641 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule refl)
% 11.25/11.44  (step t642 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule refl)
% 11.25/11.44  (step t643 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule refl)
% 11.25/11.44  (step t644 (cl (= (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)))) :rule refl)
% 11.25/11.44  (step t645 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))))) :rule refl)
% 11.25/11.44  (step t646 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))))) :rule refl)
% 11.25/11.44  (step t647 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule refl)
% 11.25/11.44  (step t648 (cl (= (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))))) :rule cong :premises (t413 t416 t417 t623 t624 t625 t626 t636 t418 t419 t637 t420 t421 t638 t422 t639 t640 t424 t641 t642 t643 t644 t645 t646 t647))
% 11.25/11.44  (step t649 (cl (not (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))))) (not (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule equiv_pos2)
% 11.25/11.44  (step t650 (cl (= (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule refl)
% 11.25/11.44  (step t651 (cl (= (= (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))))) :rule equiv_simplify)
% 11.25/11.44  (step t652 (cl (= (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false) (not (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))))) :rule equiv2 :premises (t651))
% 11.25/11.44  (step t653 (cl (not (not (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule not_not)
% 11.25/11.44  (step t654 (cl (= (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t652 t653))
% 11.25/11.44  (step t655 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t656)
% 11.25/11.44  (assume t656.a0 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.44  (assume t656.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.44  (assume t656.a2 (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))
% 11.25/11.44  (assume t656.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.44  (assume t656.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.44  (assume t656.a5 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.44  (assume t656.a6 (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))
% 11.25/11.44  (step t656.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 11.25/11.44  (step t656.t2 (cl (= (= false true) false)) :rule all_simplify)
% 11.25/11.44  (step t656.t3 (cl (= (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) false) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule equiv_simplify)
% 11.25/11.44  (step t656.t4 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) false) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule equiv2 :premises (t656.t3))
% 11.25/11.44  (step t656.t5 (cl (not (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule not_not)
% 11.25/11.44  (step t656.t6 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) false) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t656.t4 t656.t5))
% 11.25/11.44  (step t656.t7 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) false)) :rule resolution :premises (t656.t6 t656.a6))
% 11.25/11.44  (step t656.t8 (cl (= false (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t656.t7))
% 11.25/11.44  (step t656.t9 (cl (= (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) true) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule equiv_simplify)
% 11.25/11.44  (step t656.t10 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) true) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule equiv2 :premises (t656.t9))
% 11.25/11.44  (step t656.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t656.a0))
% 11.25/11.44  (step t656.t12 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t656.t11))
% 11.25/11.44  (step t656.t13 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t656.a3))
% 11.25/11.44  (step t656.t14 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t656.a2))
% 11.25/11.44  (step t656.t15 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t656.a1))
% 11.25/11.44  (step t656.t16 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule trans :premises (t656.t13 t656.t14 t656.t15 t656.t12))
% 11.25/11.44  (step t656.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t656.t16))
% 11.25/11.44  (step t656.t18 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t656.a5))
% 11.25/11.44  (step t656.t19 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t656.a4))
% 11.25/11.44  (step t656.t20 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t656.t19))
% 11.25/11.44  (step t656.t21 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule trans :premises (t656.t18 t656.t20))
% 11.25/11.44  (step t656.t22 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t656.t21))
% 11.25/11.44  (step t656.t23 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t656.t12 t656.t17 t656.t22))
% 11.25/11.44  (step t656.t24 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) true)) :rule resolution :premises (t656.t10 t656.t23))
% 11.25/11.44  (step t656.t25 (cl (= false true)) :rule trans :premises (t656.t8 t656.t24))
% 11.25/11.44  (step t656.t26 (cl false) :rule resolution :premises (t656.t1 t656.t2 t656.t25))
% 11.25/11.44  (step t656 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false) :rule subproof :discharge (t656.a0 t656.a1 t656.a2 t656.a3 t656.a4 t656.a5 t656.a6))
% 11.25/11.44  (step t657 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t658 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t659 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule and_pos)
% 11.25/11.44  (step t660 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t661 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t662 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.44  (step t663 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.25/11.44  (step t664 (cl false (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t656 t657 t658 t659 t660 t661 t662 t663))
% 11.25/11.44  (step t665 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) false) :rule reordering :premises (t664))
% 11.25/11.44  (step t666 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) false) :rule contraction :premises (t665))
% 11.25/11.44  (step t667 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false) false) :rule resolution :premises (t655 t666))
% 11.25/11.44  (step t668 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false) (not false)) :rule implies_neg2)
% 11.25/11.44  (step t669 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false)) :rule resolution :premises (t667 t668))
% 11.25/11.44  (step t670 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false)) :rule contraction :premises (t669))
% 11.25/11.44  (step t671 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))))) :rule implies_simplify)
% 11.25/11.44  (step t672 (cl (not (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule equiv1 :premises (t671))
% 11.25/11.44  (step t673 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t670 t672))
% 11.25/11.44  (step t674 (cl (= (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) false)) :rule resolution :premises (t654 t673))
% 11.25/11.44  (step t675 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) false))) :rule cong :premises (t650 t674))
% 11.25/11.44  (step t676 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) false) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))))) :rule all_simplify)
% 11.25/11.44  (step t677 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))))) :rule trans :premises (t675 t676))
% 11.25/11.44  (step t678 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t679)
% 11.25/11.44  (assume t679.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.44  (assume t679.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.44  (assume t679.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.44  (assume t679.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.44  (assume t679.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.44  (assume t679.a5 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.44  (assume t679.a6 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.44  (assume t679.a7 (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.44  (assume t679.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.44  (assume t679.a9 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.44  (assume t679.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.44  (assume t679.a11 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.44  (assume t679.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.44  (assume t679.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.44  (assume t679.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.44  (assume t679.a15 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.44  (assume t679.a16 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.44  (assume t679.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.44  (assume t679.a18 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.44  (assume t679.a19 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.44  (assume t679.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.44  (assume t679.a21 (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))
% 11.25/11.44  (assume t679.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.44  (assume t679.a23 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.44  (assume t679.a24 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.44  (step t679.t1 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule and_neg)
% 11.25/11.44  (step t679.t2 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule implies_neg1)
% 11.25/11.44  (anchor :step t679.t3)
% 11.25/11.44  (assume t679.t3.a0 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.44  (assume t679.t3.a1 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.44  (assume t679.t3.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.44  (assume t679.t3.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.44  (assume t679.t3.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.44  (assume t679.t3.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.44  (assume t679.t3.a6 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.44  (assume t679.t3.a7 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.44  (assume t679.t3.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.44  (assume t679.t3.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.44  (assume t679.t3.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.44  (assume t679.t3.a11 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.44  (assume t679.t3.a12 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.44  (assume t679.t3.a13 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.44  (assume t679.t3.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.44  (assume t679.t3.a15 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.44  (assume t679.t3.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.44  (assume t679.t3.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.44  (assume t679.t3.a18 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.44  (assume t679.t3.a19 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.44  (assume t679.t3.a20 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.44  (assume t679.t3.a21 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.44  (assume t679.t3.a22 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.44  (step t679.t3.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t679.t3.a22))
% 11.25/11.44  (step t679.t3.t2 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule symm :premises (t679.t3.t1))
% 11.25/11.44  (step t679.t3.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.25/11.44  (step t679.t3.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t679.t3.a2 t679.t3.t3))
% 11.25/11.44  (step t679.t3.t5 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule symm :premises (t679.t3.a21))
% 11.25/11.44  (step t679.t3.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule symm :premises (t679.t3.t5))
% 11.25/11.44  (step t679.t3.t7 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.44  (step t679.t3.t8 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t679.t3.a2))
% 11.25/11.44  (step t679.t3.t9 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.44  (step t679.t3.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t679.t3.t8 t679.t3.t9))
% 11.25/11.44  (step t679.t3.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule symm :premises (t679.t3.t10))
% 11.25/11.44  (step t679.t3.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t679.t3.a1))
% 11.25/11.44  (step t679.t3.t13 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t679.t3.a2 t679.t3.t12))
% 11.25/11.44  (step t679.t3.t14 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t679.t3.t13))
% 11.25/11.44  (step t679.t3.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t679.t3.a3))
% 11.25/11.44  (step t679.t3.t16 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t679.t3.t15 t679.t3.a1))
% 11.25/11.44  (step t679.t3.t17 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t679.t3.t16))
% 11.25/11.44  (step t679.t3.t18 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t679.t3.a6))
% 11.25/11.44  (step t679.t3.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t679.t3.a5))
% 11.25/11.44  (step t679.t3.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t679.t3.t18 t679.t3.t19))
% 11.25/11.44  (step t679.t3.t21 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t679.t3.a1 t679.t3.t11 t679.t3.t14 t679.t3.t17 t679.t3.a4 t679.t3.t20))
% 11.25/11.44  (step t679.t3.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t679.t3.t7 t679.t3.t21))
% 11.25/11.44  (step t679.t3.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t679.t3.a9))
% 11.25/11.44  (step t679.t3.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t679.t3.a8))
% 11.25/11.44  (step t679.t3.t25 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.44  (step t679.t3.t26 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t679.t3.t24 t679.t3.t25))
% 11.25/11.44  (step t679.t3.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t679.t3.a7))
% 11.25/11.44  (step t679.t3.t28 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t679.t3.a19))
% 11.25/11.44  (step t679.t3.t29 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t679.t3.t28))
% 11.25/11.44  (step t679.t3.t30 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t679.t3.a8 t679.t3.t22 t679.t3.t23 t679.t3.t26 t679.t3.t27 t679.t3.t29))
% 11.25/11.44  (step t679.t3.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t679.t3.a20))
% 11.25/11.44  (step t679.t3.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t679.t3.t30 t679.t3.t31))
% 11.25/11.44  (step t679.t3.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t679.t3.a18))
% 11.25/11.44  (step t679.t3.t34 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t679.t3.a20 t679.t3.t4 t679.t3.t6 t679.t3.t32 t679.t3.t33))
% 11.25/11.44  (step t679.t3.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t679.t3.t26))
% 11.25/11.44  (step t679.t3.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t679.t3.t22))
% 11.25/11.44  (step t679.t3.t37 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t679.t3.a7 t679.t3.t35 t679.t3.a9 t679.t3.t36 t679.t3.t24))
% 11.25/11.44  (step t679.t3.t38 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t679.t3.t34 t679.t3.t37))
% 11.25/11.44  (step t679.t3.t39 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t679.t3.a11))
% 11.25/11.44  (step t679.t3.t40 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t679.t3.t39))
% 11.25/11.44  (step t679.t3.t41 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.25/11.44  (step t679.t3.t42 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t679.t3.t40 t679.t3.t41))
% 11.25/11.44  (step t679.t3.t43 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule symm :premises (t679.t3.t42))
% 11.25/11.44  (step t679.t3.t44 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.25/11.44  (step t679.t3.t45 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t679.t3.t37 t679.t3.a12))
% 11.25/11.44  (step t679.t3.t46 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t679.t3.a13))
% 11.25/11.44  (step t679.t3.t47 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t679.t3.t8 t679.t3.t41))
% 11.25/11.44  (step t679.t3.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t679.t3.a12))
% 11.25/11.44  (step t679.t3.t49 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) tptp.sk_c5)) :rule trans :premises (t679.t3.t45 t679.t3.t46 t679.t3.t47 t679.t3.t48))
% 11.25/11.44  (step t679.t3.t50 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule cong :premises (t679.t3.t44 t679.t3.t49))
% 11.25/11.44  (step t679.t3.t51 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t679.t3.t50))
% 11.25/11.44  (step t679.t3.t52 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule symm :premises (t679.t3.a14))
% 11.25/11.44  (step t679.t3.t53 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t679.t3.a0))
% 11.25/11.44  (step t679.t3.t54 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t679.t3.t53))
% 11.25/11.44  (step t679.t3.t55 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule cong :premises (t679.t3.t54 t679.t3.t41))
% 11.25/11.44  (step t679.t3.t56 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule symm :premises (t679.t3.t55))
% 11.25/11.44  (step t679.t3.t57 (cl (= tptp.identity (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule trans :premises (t679.t3.a10 t679.t3.t43 t679.t3.t51 t679.t3.t52 t679.t3.t56))
% 11.25/11.44  (step t679.t3.t58 (cl (= tptp.identity tptp.sk_c10)) :rule symm :premises (t679.t3.t37))
% 11.25/11.44  (step t679.t3.t59 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule cong :premises (t679.t3.t57 t679.t3.t58))
% 11.25/11.44  (step t679.t3.t60 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule symm :premises (t679.t3.a17))
% 11.25/11.44  (step t679.t3.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule symm :premises (t679.t3.t60))
% 11.25/11.44  (step t679.t3.t62 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t679.t3.a7 t679.t3.t35 t679.t3.a9 t679.t3.t36 t679.t3.t24 t679.t3.a10 t679.t3.t43))
% 11.25/11.44  (step t679.t3.t63 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule cong :premises (t679.t3.t41 t679.t3.t62))
% 11.25/11.44  (step t679.t3.t64 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t679.t3.a16))
% 11.25/11.44  (step t679.t3.t65 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t679.t3.a15))
% 11.25/11.44  (step t679.t3.t66 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule cong :premises (t679.t3.t65 t679.t3.t41))
% 11.25/11.44  (step t679.t3.t67 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t679.t3.t52))
% 11.25/11.44  (step t679.t3.t68 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t679.t3.a10))
% 11.25/11.44  (step t679.t3.t69 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.44  (step t679.t3.t70 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t679.t3.a6 t679.t3.t69))
% 11.25/11.44  (step t679.t3.t71 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t679.t3.t70))
% 11.25/11.44  (step t679.t3.t72 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule trans :premises (t679.t3.t63 t679.t3.t64 t679.t3.t66 t679.t3.t55 t679.t3.t67 t679.t3.t50 t679.t3.t42 t679.t3.t68 t679.t3.a3 t679.t3.t71))
% 11.25/11.44  (step t679.t3.t73 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule cong :premises (t679.t3.t9 t679.t3.t72))
% 11.25/11.44  (step t679.t3.t74 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) tptp.sk_c10)) :rule trans :premises (t679.t3.t70 t679.t3.t15 t679.t3.a8 t679.t3.t22 t679.t3.t23 t679.t3.t26 t679.t3.t27))
% 11.25/11.44  (step t679.t3.t75 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t679.t3.a6 t679.t3.t74))
% 11.25/11.44  (step t679.t3.t76 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.25/11.44  (step t679.t3.t77 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t679.t3.t19))
% 11.25/11.44  (step t679.t3.t78 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule cong :premises (t679.t3.t76 t679.t3.t77))
% 11.25/11.44  (step t679.t3.t79 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t679.t3.a4))
% 11.25/11.44  (step t679.t3.t80 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule trans :premises (t679.t3.t2 t679.t3.t38 t679.t3.t59 t679.t3.t61 t679.t3.t73 t679.t3.t75 t679.t3.t78 t679.t3.t79 t679.t3.t16 t679.t3.t13 t679.t3.t10 t679.t3.t12 t679.t3.t54))
% 11.25/11.44  (step t679.t3 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule subproof :discharge (t679.t3.a0 t679.t3.a1 t679.t3.a2 t679.t3.a3 t679.t3.a4 t679.t3.a5 t679.t3.a6 t679.t3.a7 t679.t3.a8 t679.t3.a9 t679.t3.a10 t679.t3.a11 t679.t3.a12 t679.t3.a13 t679.t3.a14 t679.t3.a15 t679.t3.a16 t679.t3.a17 t679.t3.a18 t679.t3.a19 t679.t3.a20 t679.t3.a21 t679.t3.a22))
% 11.25/11.44  (step t679.t4 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t679.t5 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t679.t6 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.44  (step t679.t7 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.44  (step t679.t8 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.44  (step t679.t9 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t679.t10 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.44  (step t679.t11 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t679.t12 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.44  (step t679.t13 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t679.t14 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t679.t15 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t679.t16 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.44  (step t679.t17 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t679.t18 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t679.t19 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.44  (step t679.t20 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.44  (step t679.t21 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.44  (step t679.t22 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t679.t23 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t679.t24 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.44  (step t679.t25 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.44  (step t679.t26 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.44  (step t679.t27 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule resolution :premises (t679.t3 t679.t4 t679.t5 t679.t6 t679.t7 t679.t8 t679.t9 t679.t10 t679.t11 t679.t12 t679.t13 t679.t14 t679.t15 t679.t16 t679.t17 t679.t18 t679.t19 t679.t20 t679.t21 t679.t22 t679.t23 t679.t24 t679.t25 t679.t26))
% 11.25/11.45  (step t679.t28 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule reordering :premises (t679.t27))
% 11.25/11.45  (step t679.t29 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule contraction :premises (t679.t28))
% 11.25/11.45  (step t679.t30 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t679.t2 t679.t29))
% 11.25/11.45  (step t679.t31 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.45  (step t679.t32 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t679.t30 t679.t31))
% 11.25/11.45  (step t679.t33 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule contraction :premises (t679.t32))
% 11.25/11.45  (step t679.t34 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule implies :premises (t679.t33))
% 11.25/11.45  (step t679.t35 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_neg)
% 11.25/11.45  (step t679.t36 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t679.t35 t679.a5 t679.a11 t679.a8 t679.a10 t679.a13 t679.a0 t679.a6 t679.a9 t679.a12 t679.a14 t679.a20 t679.a4 t679.a19 t679.a18 t679.a23 t679.a3 t679.a22 t679.a24 t679.a17 t679.a2 t679.a16 t679.a15 t679.a1))
% 11.25/11.45  (step t679.t37 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t679.t34 t679.t36))
% 11.25/11.45  (step t679.t38 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t679.t39)
% 11.25/11.45  (assume t679.t39.a0 (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.45  (assume t679.t39.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.45  (assume t679.t39.a2 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.45  (assume t679.t39.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.45  (assume t679.t39.a4 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.45  (assume t679.t39.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.45  (assume t679.t39.a6 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.45  (assume t679.t39.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.45  (assume t679.t39.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.45  (assume t679.t39.a9 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.45  (assume t679.t39.a10 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.45  (assume t679.t39.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.45  (assume t679.t39.a12 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.45  (assume t679.t39.a13 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.45  (assume t679.t39.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.45  (step t679.t39.t1 (cl (= (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) false) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule equiv_simplify)
% 11.25/11.45  (step t679.t39.t2 (cl (not (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) false)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule equiv1 :premises (t679.t39.t1))
% 11.25/11.45  (step t679.t39.t3 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.45  (step t679.t39.t4 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t679.t39.a9))
% 11.25/11.45  (step t679.t39.t5 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.45  (step t679.t39.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t679.t39.a3 t679.t39.t5))
% 11.25/11.45  (step t679.t39.t7 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t679.t39.a3))
% 11.25/11.45  (step t679.t39.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t679.t39.t7 t679.t39.a6))
% 11.25/11.45  (step t679.t39.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t679.t39.a7))
% 11.25/11.45  (step t679.t39.t10 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t679.t39.t9))
% 11.25/11.45  (step t679.t39.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t679.t39.a6))
% 11.25/11.45  (step t679.t39.t12 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule cong :premises (t679.t39.t10 t679.t39.t11))
% 11.25/11.45  (step t679.t39.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t679.t39.a8))
% 11.25/11.45  (step t679.t39.t14 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule symm :premises (t679.t39.t13))
% 11.25/11.45  (step t679.t39.t15 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.25/11.45  (step t679.t39.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t679.t39.a10))
% 11.25/11.45  (step t679.t39.t17 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t679.t39.t16))
% 11.25/11.45  (step t679.t39.t18 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t679.t39.t17))
% 11.25/11.45  (step t679.t39.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t679.t39.t15 t679.t39.t18))
% 11.25/11.45  (step t679.t39.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t679.t39.a5))
% 11.25/11.45  (step t679.t39.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t679.t39.t20 t679.t39.t3))
% 11.25/11.45  (step t679.t39.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t679.t39.t21))
% 11.25/11.45  (step t679.t39.t23 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.45  (step t679.t39.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t679.t39.t4 t679.t39.t18))
% 11.25/11.45  (step t679.t39.t25 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t679.t39.a6 t679.t39.t6 t679.t39.t8 t679.t39.t12 t679.t39.t14 t679.t39.t24))
% 11.25/11.45  (step t679.t39.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t679.t39.t23 t679.t39.t25))
% 11.25/11.45  (step t679.t39.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t679.t39.t26))
% 11.25/11.45  (step t679.t39.t28 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.45  (step t679.t39.t29 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t679.t39.a9 t679.t39.t28))
% 11.25/11.45  (step t679.t39.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t679.t39.t29))
% 11.25/11.45  (step t679.t39.t31 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule trans :premises (t679.t39.a12 t679.t39.t22 t679.t39.a11 t679.t39.t27 t679.t39.t20 t679.t39.t10 t679.t39.t30))
% 11.25/11.45  (step t679.t39.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule cong :premises (t679.t39.t4 t679.t39.t31))
% 11.25/11.45  (step t679.t39.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t679.t39.a14))
% 11.25/11.45  (step t679.t39.t34 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t679.t39.t33))
% 11.25/11.45  (step t679.t39.t35 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t679.t39.a13))
% 11.25/11.45  (step t679.t39.t36 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t679.t39.t35))
% 11.25/11.45  (step t679.t39.t37 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t679.t39.t36))
% 11.25/11.45  (step t679.t39.t38 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t679.t39.t37 t679.t39.a12 t679.t39.t22 t679.t39.a11 t679.t39.t27 t679.t39.t20))
% 11.25/11.45  (step t679.t39.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t679.t39.t38 t679.t39.a2))
% 11.25/11.45  (step t679.t39.t40 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule symm :premises (t679.t39.a4))
% 11.25/11.45  (step t679.t39.t41 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule symm :premises (t679.t39.t40))
% 11.25/11.45  (step t679.t39.t42 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule symm :premises (t679.t39.t41))
% 11.25/11.45  (step t679.t39.t43 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.25/11.45  (step t679.t39.t44 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t679.t39.t7 t679.t39.t43))
% 11.25/11.45  (step t679.t39.t45 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t679.t39.a2))
% 11.25/11.45  (step t679.t39.t46 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t679.t39.t34 t679.t39.t39 t679.t39.t42 t679.t39.t44 t679.t39.t45))
% 11.25/11.45  (step t679.t39.t47 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t679.t39.a11))
% 11.25/11.45  (step t679.t39.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t679.t39.a12))
% 11.25/11.45  (step t679.t39.t49 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t679.t39.a5 t679.t39.t26 t679.t39.t47 t679.t39.t21 t679.t39.t48))
% 11.25/11.45  (step t679.t39.t50 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t679.t39.t46 t679.t39.t49))
% 11.25/11.45  (step t679.t39.t51 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t679.t39.a1))
% 11.25/11.45  (step t679.t39.t52 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule symm :premises (t679.t39.t51))
% 11.25/11.45  (step t679.t39.t53 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t679.t39.t52))
% 11.25/11.45  (step t679.t39.t54 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) tptp.sk_c9)) :rule trans :premises (t679.t39.t29 t679.t39.t9 t679.t39.a3 t679.t39.t50 t679.t39.t53))
% 11.25/11.45  (step t679.t39.t55 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule cong :premises (t679.t39.t5 t679.t39.t54))
% 11.25/11.45  (step t679.t39.t56 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t679.t39.t4 t679.t39.a6 t679.t39.t6 t679.t39.t8 t679.t39.t12 t679.t39.t14 t679.t39.t19 t679.t39.t32 t679.t39.t55))
% 11.25/11.45  (step t679.t39.t57 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t679.t39.t3 t679.t39.t56))
% 11.25/11.45  (step t679.t39.t58 (cl (= (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) false) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule equiv_simplify)
% 11.25/11.45  (step t679.t39.t59 (cl (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) false) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule equiv2 :premises (t679.t39.t58))
% 11.25/11.45  (step t679.t39.t60 (cl (not (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule not_not)
% 11.25/11.45  (step t679.t39.t61 (cl (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) false) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t679.t39.t59 t679.t39.t60))
% 11.25/11.45  (step t679.t39.t62 (cl (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) false)) :rule resolution :premises (t679.t39.t61 t679.t39.a0))
% 11.25/11.45  (step t679.t39.t63 (cl (= (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) false)) :rule trans :premises (t679.t39.t57 t679.t39.t62))
% 11.25/11.45  (step t679.t39.t64 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t679.t39.t2 t679.t39.t63))
% 11.25/11.45  (step t679.t39 (cl (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t679.t39.a0 t679.t39.a1 t679.t39.a2 t679.t39.a3 t679.t39.a4 t679.t39.a5 t679.t39.a6 t679.t39.a7 t679.t39.a8 t679.t39.a9 t679.t39.a10 t679.t39.a11 t679.t39.a12 t679.t39.a13 t679.t39.a14))
% 11.25/11.45  (step t679.t40 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t679.t41 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t679.t42 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t679.t43 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.45  (step t679.t44 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.45  (step t679.t45 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t679.t46 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t679.t47 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t679.t48 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.45  (step t679.t49 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t679.t50 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t679.t51 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.45  (step t679.t52 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t679.t53 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t679.t54 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t679.t55 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t679.t39 t679.t40 t679.t41 t679.t42 t679.t43 t679.t44 t679.t45 t679.t46 t679.t47 t679.t48 t679.t49 t679.t50 t679.t51 t679.t52 t679.t53 t679.t54))
% 11.25/11.45  (step t679.t56 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t679.t55))
% 11.25/11.45  (step t679.t57 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t679.t56))
% 11.25/11.45  (step t679.t58 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t679.t38 t679.t57))
% 11.25/11.45  (step t679.t59 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.45  (step t679.t60 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t679.t58 t679.t59))
% 11.25/11.45  (step t679.t61 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t679.t60))
% 11.25/11.45  (step t679.t62 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t679.t61))
% 11.25/11.45  (step t679.t63 (cl (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.25/11.45  (step t679.t64 (cl (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t679.t63 t679.a7 t679.a1 t679.a16 t679.a8 t679.a15 t679.a12 t679.a11 t679.a10 t679.a13 t679.a6 t679.a0 t679.a14 t679.a9 t679.a2 t679.a17))
% 11.25/11.45  (step t679.t65 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t679.t62 t679.t64))
% 11.25/11.45  (step t679.t66 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t679.t1 t679.a9 t679.a0 t679.a21 t679.t37 t679.a5 t679.a6 t679.t65))
% 11.25/11.45  (step t679 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t679.a0 t679.a1 t679.a2 t679.a3 t679.a4 t679.a5 t679.a6 t679.a7 t679.a8 t679.a9 t679.a10 t679.a11 t679.a12 t679.a13 t679.a14 t679.a15 t679.a16 t679.a17 t679.a18 t679.a19 t679.a20 t679.a21 t679.a22 t679.a23 t679.a24))
% 11.25/11.45  (step t680 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t681 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t682 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t683 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.45  (step t684 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.45  (step t685 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t686 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t687 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t688 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.45  (step t689 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t690 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t691 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t692 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t693 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.45  (step t694 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.45  (step t695 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.45  (step t696 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t697 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t698 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.45  (step t699 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.45  (step t700 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.45  (step t701 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule and_pos)
% 11.25/11.45  (step t702 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.45  (step t703 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.45  (step t704 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.45  (step t705 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule resolution :premises (t679 t680 t681 t682 t683 t684 t685 t686 t687 t688 t689 t690 t691 t692 t693 t694 t695 t696 t697 t698 t699 t700 t701 t702 t703 t704))
% 11.25/11.45  (step t706 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule reordering :premises (t705))
% 11.25/11.45  (step t707 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t706))
% 11.25/11.45  (step t708 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t678 t707))
% 11.25/11.45  (step t709 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.25/11.45  (step t710 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t708 t709))
% 11.25/11.45  (step t711 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t710))
% 11.25/11.45  (step t712 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule resolution :premises (t649 t677 t711))
% 11.25/11.45  (step t713 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule not_and :premises (t712))
% 11.25/11.45  (step t714 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule or_neg)
% 11.25/11.45  (step t715 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule or_neg)
% 11.25/11.45  (step t716 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule or_neg)
% 11.25/11.45  (step t717 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule or_neg)
% 11.25/11.45  (step t718 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule or_neg)
% 11.25/11.45  (step t719 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule or_neg)
% 11.25/11.45  (step t720 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule or_neg)
% 11.25/11.45  (step t721 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))))) :rule or_neg)
% 11.25/11.45  (step t722 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule or_neg)
% 11.25/11.45  (step t723 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule or_neg)
% 11.25/11.45  (step t724 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule or_neg)
% 11.25/11.45  (step t725 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))))) :rule or_neg)
% 11.25/11.45  (step t726 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))))) :rule or_neg)
% 11.25/11.45  (step t727 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))))) :rule or_neg)
% 11.25/11.45  (step t728 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))))) :rule or_neg)
% 11.25/11.45  (step t729 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))))) :rule or_neg)
% 11.25/11.45  (step t730 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule or_neg)
% 11.25/11.45  (step t731 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule or_neg)
% 11.25/11.45  (step t732 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule or_neg)
% 11.25/11.45  (step t733 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule or_neg)
% 11.25/11.45  (step t734 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule or_neg)
% 11.25/11.45  (step t735 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)))) :rule or_neg)
% 11.25/11.45  (step t736 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))))) :rule or_neg)
% 11.25/11.45  (step t737 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))))) :rule or_neg)
% 11.25/11.45  (step t738 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule or_neg)
% 11.25/11.45  (step t739 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule resolution :premises (t713 t714 t715 t716 t717 t718 t719 t720 t721 t722 t723 t724 t725 t726 t727 t728 t729 t730 t731 t732 t733 t734 t735 t736 t737 t738))
% 11.25/11.45  (step t740 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule contraction :premises (t739))
% 11.25/11.45  (step t741 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule resolution :premises (t622 t648 t740))
% 11.25/11.45  (step t742 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule or :premises (t741))
% 11.25/11.45  (step t743 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule reordering :premises (t742))
% 11.25/11.45  (step t744 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t745)
% 11.25/11.45  (assume t745.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.45  (step t745.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c1)) (:= Y tptp.sk_c1) (:= Z tptp.sk_c11)))
% 11.25/11.45  (step t745.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule or :premises (t745.t1))
% 11.25/11.45  (step t745.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule resolution :premises (t745.t2 t745.a0))
% 11.25/11.45  (step t745 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule subproof :discharge (t745.a0))
% 11.25/11.45  (step t746 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule resolution :premises (t744 t745))
% 11.25/11.45  (step t747 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule implies_neg2)
% 11.25/11.45  (step t748 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule resolution :premises (t746 t747))
% 11.25/11.45  (step t749 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule contraction :premises (t748))
% 11.25/11.45  (step t750 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule implies :premises (t749))
% 11.25/11.45  (step t751 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule resolution :premises (t750 a2))
% 11.25/11.45  (step t752 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t753)
% 11.25/11.45  (assume t753.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.25/11.45  (step t753.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.25/11.45  (step t753.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t753.t1))
% 11.25/11.45  (step t753.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t753.t2 t753.a0))
% 11.25/11.45  (step t753 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t753.a0))
% 11.25/11.45  (step t754 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t752 t753))
% 11.25/11.45  (step t755 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 11.25/11.45  (step t756 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t754 t755))
% 11.25/11.45  (step t757 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t756))
% 11.25/11.45  (step t758 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule implies :premises (t757))
% 11.25/11.45  (step t759 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t758 t147))
% 11.25/11.45  (step t760 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.25/11.45  (step t761 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t762)
% 11.25/11.45  (assume t762.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.45  (assume t762.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.45  (assume t762.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.45  (assume t762.a3 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.45  (assume t762.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.45  (assume t762.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.45  (assume t762.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.45  (assume t762.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.45  (assume t762.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.45  (assume t762.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.45  (assume t762.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.45  (assume t762.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.45  (assume t762.a12 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.45  (assume t762.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.45  (step t762.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t762.t2)
% 11.25/11.45  (assume t762.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.45  (assume t762.t2.a1 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.45  (assume t762.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.45  (assume t762.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.45  (assume t762.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.45  (assume t762.t2.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.45  (assume t762.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.45  (assume t762.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.45  (assume t762.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.45  (assume t762.t2.a9 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.45  (assume t762.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.45  (assume t762.t2.a11 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.45  (assume t762.t2.a12 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.45  (assume t762.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.45  (step t762.t2.t1 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t762.t2.a9))
% 11.25/11.45  (step t762.t2.t2 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t762.t2.a4))
% 11.25/11.45  (step t762.t2.t3 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.45  (step t762.t2.t4 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t762.t2.t2 t762.t2.t3))
% 11.25/11.45  (step t762.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t762.t2.t4))
% 11.25/11.45  (step t762.t2.t6 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.45  (step t762.t2.t7 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.45  (step t762.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t762.t2.a2 t762.t2.t7))
% 11.25/11.45  (step t762.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t762.t2.a2))
% 11.25/11.45  (step t762.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t762.t2.t9 t762.t2.a5))
% 11.25/11.45  (step t762.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t762.t2.a6))
% 11.25/11.45  (step t762.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t762.t2.t11))
% 11.25/11.45  (step t762.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t762.t2.a5))
% 11.25/11.45  (step t762.t2.t14 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule cong :premises (t762.t2.t12 t762.t2.t13))
% 11.25/11.45  (step t762.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t762.t2.a7))
% 11.25/11.45  (step t762.t2.t16 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule symm :premises (t762.t2.t15))
% 11.25/11.45  (step t762.t2.t17 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t762.t2.a8))
% 11.25/11.45  (step t762.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t762.t2.t17 t762.t2.t1))
% 11.25/11.45  (step t762.t2.t19 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t762.t2.a5 t762.t2.t8 t762.t2.t10 t762.t2.t14 t762.t2.t16 t762.t2.t18))
% 11.25/11.45  (step t762.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t762.t2.t6 t762.t2.t19))
% 11.25/11.45  (step t762.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t762.t2.t20))
% 11.25/11.45  (step t762.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t762.t2.a13))
% 11.25/11.45  (step t762.t2.t23 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t762.t2.t22))
% 11.25/11.45  (step t762.t2.t24 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t762.t2.a12))
% 11.25/11.45  (step t762.t2.t25 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t762.t2.t24 t762.t2.a11 t762.t2.t5 t762.t2.a10 t762.t2.t21 t762.t2.t2))
% 11.25/11.45  (step t762.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t762.t2.t25 t762.t2.a1))
% 11.25/11.45  (step t762.t2.t27 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule symm :premises (t762.t2.a3))
% 11.25/11.45  (step t762.t2.t28 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.25/11.45  (step t762.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t762.t2.t9 t762.t2.t28))
% 11.25/11.45  (step t762.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t762.t2.a1))
% 11.25/11.45  (step t762.t2.t31 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t762.t2.t23 t762.t2.t26 t762.t2.t27 t762.t2.t29 t762.t2.t30))
% 11.25/11.45  (step t762.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t762.t2.a10))
% 11.25/11.45  (step t762.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t762.t2.a11))
% 11.25/11.45  (step t762.t2.t34 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t762.t2.a4 t762.t2.t20 t762.t2.t32 t762.t2.t4 t762.t2.t33))
% 11.25/11.45  (step t762.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t762.t2.t31 t762.t2.t34))
% 11.25/11.45  (step t762.t2.t36 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t762.t2.a0))
% 11.25/11.45  (step t762.t2.t37 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule trans :premises (t762.t2.t1 t762.t2.a11 t762.t2.t5 t762.t2.a10 t762.t2.t21 t762.t2.t2 t762.t2.a2 t762.t2.t35 t762.t2.t36))
% 11.25/11.45  (step t762.t2 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule subproof :discharge (t762.t2.a0 t762.t2.a1 t762.t2.a2 t762.t2.a3 t762.t2.a4 t762.t2.a5 t762.t2.a6 t762.t2.a7 t762.t2.a8 t762.t2.a9 t762.t2.a10 t762.t2.a11 t762.t2.a12 t762.t2.a13))
% 11.25/11.45  (step t762.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t762.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t762.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.45  (step t762.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.45  (step t762.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t762.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t762.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t762.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.45  (step t762.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t762.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t762.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.45  (step t762.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t762.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t762.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t762.t17 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t762.t2 t762.t3 t762.t4 t762.t5 t762.t6 t762.t7 t762.t8 t762.t9 t762.t10 t762.t11 t762.t12 t762.t13 t762.t14 t762.t15 t762.t16))
% 11.25/11.45  (step t762.t18 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule reordering :premises (t762.t17))
% 11.25/11.45  (step t762.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule contraction :premises (t762.t18))
% 11.25/11.45  (step t762.t20 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t762.t1 t762.t19))
% 11.25/11.45  (step t762.t21 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule implies_neg2)
% 11.25/11.45  (step t762.t22 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule resolution :premises (t762.t20 t762.t21))
% 11.25/11.45  (step t762.t23 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule contraction :premises (t762.t22))
% 11.25/11.45  (step t762.t24 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule implies :premises (t762.t23))
% 11.25/11.45  (step t762.t25 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.25/11.45  (step t762.t26 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t762.t25 t762.a1 t762.a12 t762.a4 t762.a11 t762.a8 t762.a7 t762.a6 t762.a9 t762.a3 t762.a0 t762.a10 t762.a5 t762.a2 t762.a13))
% 11.25/11.45  (step t762.t27 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t762.t24 t762.t26))
% 11.25/11.45  (step t762 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule subproof :discharge (t762.a0 t762.a1 t762.a2 t762.a3 t762.a4 t762.a5 t762.a6 t762.a7 t762.a8 t762.a9 t762.a10 t762.a11 t762.a12 t762.a13))
% 11.25/11.45  (step t763 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t764 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t765 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t766 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t767 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.45  (step t768 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t769 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t770 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t771 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t772 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.45  (step t773 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.45  (step t774 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.45  (step t775 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t776 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t777 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t762 t763 t764 t765 t766 t767 t768 t769 t770 t771 t772 t773 t774 t775 t776))
% 11.25/11.45  (step t778 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule reordering :premises (t777))
% 11.25/11.45  (step t779 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule contraction :premises (t778))
% 11.25/11.45  (step t780 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t761 t779))
% 11.25/11.45  (step t781 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule implies_neg2)
% 11.25/11.45  (step t782 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule resolution :premises (t780 t781))
% 11.25/11.45  (step t783 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule contraction :premises (t782))
% 11.25/11.45  (step t784 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule implies :premises (t783))
% 11.25/11.45  (step t785 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t760 t784))
% 11.25/11.45  (step t786 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule equiv_pos2)
% 11.25/11.45  (step t787 (cl (= (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule all_simplify)
% 11.25/11.45  (step t788 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule cong :premises (t787 t598))
% 11.25/11.45  (step t789 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t786 t788 a29))
% 11.25/11.45  (step t790 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule or :premises (t789))
% 11.25/11.45  (step t791 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t790))
% 11.25/11.45  (step t792 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.25/11.45  (step t793 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t787 t592))
% 11.25/11.45  (step t794 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t792 t793 a28))
% 11.25/11.45  (step t795 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t794))
% 11.25/11.45  (step t796 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t795))
% 11.25/11.45  (step t797 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.25/11.45  (step t798 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t787 t586))
% 11.25/11.45  (step t799 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t797 t798 a27))
% 11.25/11.45  (step t800 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t799))
% 11.25/11.45  (step t801 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t800))
% 11.25/11.45  (step t802 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t743 t113 t121 t129 t148 t159 t167 t199 t323 t331 t231 t751 t239 t247 t759 t255 t263 t785 t199 t323 t331 t231 t751 t239 t247 t759 t255 t263 t791 t796 t801))
% 11.25/11.45  (step t803 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t802))
% 11.25/11.45  (step t804 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.25/11.45  (step t805 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t787 t604))
% 11.25/11.45  (step t806 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t804 t805 a26))
% 11.25/11.45  (step t807 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t806))
% 11.25/11.45  (step t808 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t807))
% 11.25/11.45  (step t809 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.25/11.45  (step t810 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t787 t610))
% 11.25/11.45  (step t811 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t809 t810 a25))
% 11.25/11.45  (step t812 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t811))
% 11.25/11.45  (step t813 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t812))
% 11.25/11.45  (step t814 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t803 t808 t813))
% 11.25/11.45  (step t815 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t814))
% 11.25/11.45  (step t816 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t394))
% 11.25/11.45  (step t817 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t818)
% 11.25/11.45  (assume t818.a0 (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))
% 11.25/11.45  (step t818.t1 (cl (or (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule forall_inst :args ((:= X5 tptp.sk_c1) (:= X7 tptp.sk_c1)))
% 11.25/11.45  (step t818.t2 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule or :premises (t818.t1))
% 11.25/11.45  (step t818.t3 (cl (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t818.t2 t818.a0))
% 11.25/11.45  (step t818 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule subproof :discharge (t818.a0))
% 11.25/11.45  (step t819 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t817 t818))
% 11.25/11.45  (step t820 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule implies_neg2)
% 11.25/11.45  (step t821 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule resolution :premises (t819 t820))
% 11.25/11.45  (step t822 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule contraction :premises (t821))
% 11.25/11.45  (step t823 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule implies :premises (t822))
% 11.25/11.45  (step t824 (cl (not (= (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))))) (not (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule equiv_pos2)
% 11.25/11.45  (step t825 (cl (= (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule all_simplify)
% 11.25/11.45  (step t826 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)))) :rule cong :premises (t825))
% 11.25/11.45  (step t827 (cl (= (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule refl)
% 11.25/11.45  (step t828 (cl (= (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (or (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule cong :premises (t826 t827))
% 11.25/11.45  (step t829 (cl (= (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))))) :rule cong :premises (t385 t828))
% 11.25/11.45  (step t830 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t831)
% 11.25/11.45  (assume t831.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))))
% 11.25/11.45  (step t831.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X4 tptp.sk_c1)))
% 11.25/11.45  (step t831.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t831.t1))
% 11.25/11.45  (step t831.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t831.t2 t831.a0))
% 11.25/11.45  (step t831 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t831.a0))
% 11.25/11.45  (step t832 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t830 t831))
% 11.25/11.45  (step t833 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.25/11.45  (step t834 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t832 t833))
% 11.25/11.45  (step t835 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t834))
% 11.25/11.45  (step t836 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t824 t829 t835))
% 11.25/11.45  (step t837 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t836))
% 11.25/11.45  (step t838 (cl (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule or_pos)
% 11.25/11.45  (step t839 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule reordering :premises (t838))
% 11.25/11.45  (step t840 (cl (not (or (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 11.25/11.45  (step t841 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (or (not (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t840))
% 11.25/11.45  (step t842 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule and_neg)
% 11.25/11.45  (step t843 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t844)
% 11.25/11.45  (assume t844.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.45  (assume t844.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.45  (assume t844.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.45  (assume t844.a3 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.45  (assume t844.a4 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.45  (assume t844.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.45  (assume t844.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.45  (assume t844.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.45  (assume t844.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.45  (assume t844.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.45  (assume t844.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.45  (assume t844.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.45  (assume t844.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.45  (assume t844.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.45  (assume t844.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.45  (assume t844.a15 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.45  (assume t844.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.45  (assume t844.a17 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.45  (assume t844.a18 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.45  (assume t844.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.25/11.45  (assume t844.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.45  (step t844.t1 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t844.t2)
% 11.25/11.45  (assume t844.t2.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.45  (assume t844.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.45  (assume t844.t2.a2 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.45  (assume t844.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.45  (assume t844.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.45  (assume t844.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.45  (assume t844.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.45  (assume t844.t2.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.45  (assume t844.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.45  (assume t844.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.25/11.45  (assume t844.t2.a10 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.45  (assume t844.t2.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.45  (assume t844.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.45  (assume t844.t2.a13 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.45  (assume t844.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.45  (assume t844.t2.a15 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.45  (assume t844.t2.a16 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.45  (assume t844.t2.a17 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.45  (assume t844.t2.a18 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.45  (assume t844.t2.a19 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.45  (assume t844.t2.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.45  (step t844.t2.t1 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.45  (step t844.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t844.t2.a8 t844.t2.t1))
% 11.25/11.45  (step t844.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t844.t2.a8))
% 11.25/11.45  (step t844.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t844.t2.t3 t844.t2.a7))
% 11.25/11.45  (step t844.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t844.t2.a6))
% 11.25/11.45  (step t844.t2.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t844.t2.t5))
% 11.25/11.45  (step t844.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t844.t2.a7))
% 11.25/11.45  (step t844.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule cong :premises (t844.t2.t6 t844.t2.t7))
% 11.25/11.45  (step t844.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t844.t2.a5))
% 11.25/11.45  (step t844.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule symm :premises (t844.t2.t9))
% 11.25/11.45  (step t844.t2.t11 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t844.t2.a0))
% 11.25/11.45  (step t844.t2.t12 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t844.t2.a1))
% 11.25/11.45  (step t844.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t844.t2.t11 t844.t2.t12))
% 11.25/11.45  (step t844.t2.t14 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t844.t2.t11))
% 11.25/11.45  (step t844.t2.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.45  (step t844.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t844.t2.a8 t844.t2.t15))
% 11.25/11.45  (step t844.t2.t17 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t844.t2.t3 t844.t2.a15))
% 11.25/11.45  (step t844.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t844.t2.a3))
% 11.25/11.45  (step t844.t2.t19 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.45  (step t844.t2.t20 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t844.t2.t18 t844.t2.t19))
% 11.25/11.45  (step t844.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t844.t2.t20))
% 11.25/11.45  (step t844.t2.t22 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.45  (step t844.t2.t23 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t844.t2.a7 t844.t2.t2 t844.t2.t4 t844.t2.t8 t844.t2.t10 t844.t2.t13))
% 11.25/11.45  (step t844.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t844.t2.t22 t844.t2.t23))
% 11.25/11.45  (step t844.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t844.t2.t24))
% 11.25/11.45  (step t844.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t844.t2.t12 t844.t2.a2 t844.t2.t21 t844.t2.a4 t844.t2.t25 t844.t2.t18))
% 11.25/11.45  (step t844.t2.t27 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t844.t2.t26))
% 11.25/11.45  (step t844.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t844.t2.a15))
% 11.25/11.45  (step t844.t2.t29 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule cong :premises (t844.t2.t27 t844.t2.t28))
% 11.25/11.45  (step t844.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t844.t2.a14))
% 11.25/11.45  (step t844.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t844.t2.t30))
% 11.25/11.45  (step t844.t2.t32 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t844.t2.t14 t844.t2.t15))
% 11.25/11.45  (step t844.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t844.t2.a4))
% 11.25/11.45  (step t844.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t844.t2.a2))
% 11.25/11.45  (step t844.t2.t35 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t844.t2.a13))
% 11.25/11.45  (step t844.t2.t36 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t844.t2.t35))
% 11.25/11.45  (step t844.t2.t37 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t844.t2.t32 t844.t2.t5 t844.t2.a3 t844.t2.t24 t844.t2.t33 t844.t2.t20 t844.t2.t34 t844.t2.t36))
% 11.25/11.45  (step t844.t2.t38 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t844.t2.t15 t844.t2.t37))
% 11.25/11.45  (step t844.t2.t39 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t844.t2.a12))
% 11.25/11.45  (step t844.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule symm :premises (t844.t2.t39))
% 11.25/11.45  (step t844.t2.t41 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t844.t2.t40))
% 11.25/11.45  (step t844.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t844.t2.t26 t844.t2.a10))
% 11.25/11.45  (step t844.t2.t43 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t844.t2.a11))
% 11.25/11.45  (step t844.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule symm :premises (t844.t2.t43))
% 11.25/11.45  (step t844.t2.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t844.t2.t44))
% 11.25/11.45  (step t844.t2.t46 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.45  (step t844.t2.t47 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t844.t2.t3 t844.t2.t46))
% 11.25/11.45  (step t844.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t844.t2.a10))
% 11.25/11.45  (step t844.t2.t49 (cl (= tptp.sk_c1 tptp.sk_c9)) :rule trans :premises (t844.t2.a15 t844.t2.t16 t844.t2.t17 t844.t2.t29 t844.t2.t31 t844.t2.t38 t844.t2.t41 t844.t2.t42 t844.t2.t45 t844.t2.t47 t844.t2.t48))
% 11.25/11.45  (step t844.t2.t50 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c9))) :rule cong :premises (t844.t2.t49))
% 11.25/11.45  (step t844.t2.t51 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c9))) :rule trans :premises (t844.t2.t14 t844.t2.t50))
% 11.25/11.45  (step t844.t2.t52 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t844.t2.a20))
% 11.25/11.45  (step t844.t2.t53 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t844.t2.t52))
% 11.25/11.45  (step t844.t2.t54 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t844.t2.a19))
% 11.25/11.45  (step t844.t2.t55 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t844.t2.t54 t844.t2.a2 t844.t2.t21 t844.t2.a4 t844.t2.t25 t844.t2.t18))
% 11.25/11.45  (step t844.t2.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t844.t2.t55 t844.t2.a17))
% 11.25/11.45  (step t844.t2.t57 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule symm :premises (t844.t2.a18))
% 11.25/11.45  (step t844.t2.t58 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.25/11.45  (step t844.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t844.t2.t3 t844.t2.t58))
% 11.25/11.45  (step t844.t2.t60 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t844.t2.a17))
% 11.25/11.45  (step t844.t2.t61 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t844.t2.t53 t844.t2.t56 t844.t2.t57 t844.t2.t59 t844.t2.t60))
% 11.25/11.45  (step t844.t2.t62 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t844.t2.a3 t844.t2.t24 t844.t2.t33 t844.t2.t20 t844.t2.t34))
% 11.25/11.45  (step t844.t2.t63 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t844.t2.t61 t844.t2.t62))
% 11.25/11.45  (step t844.t2.t64 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t844.t2.a16))
% 11.25/11.45  (step t844.t2.t65 (cl (= tptp.sk_c10 tptp.sk_c9)) :rule trans :premises (t844.t2.a2 t844.t2.t21 t844.t2.a4 t844.t2.t25 t844.t2.t18 t844.t2.a8 t844.t2.t63 t844.t2.t64))
% 11.25/11.45  (step t844.t2.t66 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule cong :premises (t844.t2.t51 t844.t2.t65))
% 11.25/11.45  (step t844.t2.t67 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t844.t2.a9))
% 11.25/11.45  (step t844.t2.t68 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule symm :premises (t844.t2.t67))
% 11.25/11.45  (step t844.t2.t69 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t844.t2.t68))
% 11.25/11.45  (step t844.t2.t70 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t844.t2.t12))
% 11.25/11.45  (step t844.t2.t71 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t844.t2.t15 t844.t2.t14))
% 11.25/11.45  (step t844.t2.t72 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t844.t2.a7 t844.t2.t2 t844.t2.t4 t844.t2.t8 t844.t2.t10 t844.t2.t13 t844.t2.t66 t844.t2.t69 t844.t2.a3 t844.t2.t24 t844.t2.t33 t844.t2.t20 t844.t2.t34 t844.t2.t70 t844.t2.t71))
% 11.25/11.45  (step t844.t2 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t844.t2.a0 t844.t2.a1 t844.t2.a2 t844.t2.a3 t844.t2.a4 t844.t2.a5 t844.t2.a6 t844.t2.a7 t844.t2.a8 t844.t2.a9 t844.t2.a10 t844.t2.a11 t844.t2.a12 t844.t2.a13 t844.t2.a14 t844.t2.a15 t844.t2.a16 t844.t2.a17 t844.t2.a18 t844.t2.a19 t844.t2.a20))
% 11.25/11.45  (step t844.t3 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t844.t4 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t844.t5 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t844.t6 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t844.t7 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.45  (step t844.t8 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.45  (step t844.t9 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t844.t10 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t844.t11 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.45  (step t844.t12 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t844.t13 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t844.t14 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t844.t15 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t844.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t844.t17 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.45  (step t844.t18 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t844.t19 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t844.t20 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t844.t21 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.45  (step t844.t22 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t844.t23 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t844.t24 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t844.t2 t844.t3 t844.t4 t844.t5 t844.t6 t844.t7 t844.t8 t844.t9 t844.t10 t844.t11 t844.t12 t844.t13 t844.t14 t844.t15 t844.t16 t844.t17 t844.t18 t844.t19 t844.t20 t844.t21 t844.t22 t844.t23))
% 11.25/11.45  (step t844.t25 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t844.t24))
% 11.25/11.45  (step t844.t26 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t844.t25))
% 11.25/11.45  (step t844.t27 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t844.t1 t844.t26))
% 11.25/11.45  (step t844.t28 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.45  (step t844.t29 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t844.t27 t844.t28))
% 11.25/11.45  (step t844.t30 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t844.t29))
% 11.25/11.45  (step t844.t31 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t844.t30))
% 11.25/11.45  (step t844.t32 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.25/11.45  (step t844.t33 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t844.t32 t844.a3 t844.a0 t844.a6 t844.a10 t844.a12 t844.a11 t844.a8 t844.a9 t844.a5 t844.a19 t844.a18 t844.a17 t844.a20 t844.a4 t844.a13 t844.a7 t844.a1 t844.a15 t844.a14 t844.a2 t844.a16))
% 11.25/11.45  (step t844.t34 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t844.t31 t844.t33))
% 11.25/11.45  (step t844 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t844.a0 t844.a1 t844.a2 t844.a3 t844.a4 t844.a5 t844.a6 t844.a7 t844.a8 t844.a9 t844.a10 t844.a11 t844.a12 t844.a13 t844.a14 t844.a15 t844.a16 t844.a17 t844.a18 t844.a19 t844.a20))
% 11.25/11.45  (step t845 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t846 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t847 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t848 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t849 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t850 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.45  (step t851 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t852 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t853 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t854 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t855 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t856 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.45  (step t857 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.45  (step t858 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.45  (step t859 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.45  (step t860 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t861 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t862 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t863 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t864 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t865 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t866 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))))) :rule resolution :premises (t844 t845 t846 t847 t848 t849 t850 t851 t852 t853 t854 t855 t856 t857 t858 t859 t860 t861 t862 t863 t864 t865))
% 11.25/11.45  (step t867 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t866))
% 11.25/11.45  (step t868 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t867))
% 11.25/11.45  (step t869 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t843 t868))
% 11.25/11.45  (step t870 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.45  (step t871 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t869 t870))
% 11.25/11.45  (step t872 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t871))
% 11.25/11.45  (step t873 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t872))
% 11.25/11.45  (step t874 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t842 t873))
% 11.25/11.45  (step t875 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t874))
% 11.25/11.45  (step t876 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t877)
% 11.25/11.45  (assume t877.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.25/11.45  (step t877.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule forall_inst :args ((:= X tptp.sk_c9)))
% 11.25/11.45  (step t877.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule or :premises (t877.t1))
% 11.25/11.45  (step t877.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule resolution :premises (t877.t2 t877.a0))
% 11.25/11.45  (step t877 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule subproof :discharge (t877.a0))
% 11.25/11.45  (step t878 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule resolution :premises (t876 t877))
% 11.25/11.45  (step t879 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule implies_neg2)
% 11.25/11.45  (step t880 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule resolution :premises (t878 t879))
% 11.25/11.45  (step t881 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule contraction :premises (t880))
% 11.25/11.45  (step t882 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule implies :premises (t881))
% 11.25/11.45  (step t883 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule resolution :premises (t882 t147))
% 11.25/11.45  (step t884 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t885)
% 11.25/11.45  (assume t885.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.45  (step t885.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c11) (:= Z tptp.sk_c1)))
% 11.25/11.45  (step t885.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule or :premises (t885.t1))
% 11.25/11.45  (step t885.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule resolution :premises (t885.t2 t885.a0))
% 11.25/11.45  (step t885 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule subproof :discharge (t885.a0))
% 11.25/11.45  (step t886 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule resolution :premises (t884 t885))
% 11.25/11.45  (step t887 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.45  (step t888 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule resolution :premises (t886 t887))
% 11.25/11.45  (step t889 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule contraction :premises (t888))
% 11.25/11.45  (step t890 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule implies :premises (t889))
% 11.25/11.45  (step t891 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule resolution :premises (t890 a2))
% 11.25/11.45  (step t892 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t893)
% 11.25/11.45  (assume t893.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.25/11.45  (step t893.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.25/11.45  (step t893.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule or :premises (t893.t1))
% 11.25/11.45  (step t893.t3 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t893.t2 t893.a0))
% 11.25/11.45  (step t893 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule subproof :discharge (t893.a0))
% 11.25/11.45  (step t894 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t892 t893))
% 11.25/11.45  (step t895 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg2)
% 11.25/11.45  (step t896 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t894 t895))
% 11.25/11.45  (step t897 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule contraction :premises (t896))
% 11.25/11.45  (step t898 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule implies :premises (t897))
% 11.25/11.45  (step t899 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t898 t158))
% 11.25/11.45  (step t900 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t901)
% 11.25/11.45  (assume t901.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.45  (assume t901.a1 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.45  (assume t901.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.45  (assume t901.a3 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.45  (assume t901.a4 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.45  (assume t901.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.45  (assume t901.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.45  (assume t901.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.45  (assume t901.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.45  (assume t901.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.45  (assume t901.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.45  (assume t901.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.45  (assume t901.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.45  (assume t901.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.45  (assume t901.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.45  (assume t901.a15 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.45  (assume t901.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.45  (assume t901.a17 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.45  (assume t901.a18 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.45  (assume t901.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.25/11.45  (assume t901.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.45  (step t901.t1 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t901.t2)
% 11.25/11.45  (assume t901.t2.a0 (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))
% 11.25/11.45  (assume t901.t2.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.45  (step t901.t2.t1 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t901.t2.a1))
% 11.25/11.45  (step t901.t2.t2 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c11)) :rule symm :premises (t901.t2.a0))
% 11.25/11.45  (step t901.t2.t3 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t901.t2.t2))
% 11.25/11.45  (step t901.t2.t4 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t901.t2.t1 t901.t2.t3))
% 11.25/11.45  (step t901.t2 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t901.t2.a0 t901.t2.a1))
% 11.25/11.45  (step t901.t3 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.25/11.45  (step t901.t4 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t901.t5 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t901.t2 t901.t3 t901.t4))
% 11.25/11.45  (step t901.t6 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t901.t5))
% 11.25/11.45  (step t901.t7 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t901.t6))
% 11.25/11.45  (step t901.t8 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t901.t1 t901.t7))
% 11.25/11.45  (step t901.t9 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.45  (step t901.t10 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t901.t8 t901.t9))
% 11.25/11.45  (step t901.t11 (cl (=> (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t901.t10))
% 11.25/11.45  (step t901.t12 (cl (not (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t901.t11))
% 11.25/11.45  (step t901.t13 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule and_neg)
% 11.25/11.45  (step t901.t14 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.25/11.45  (anchor :step t901.t15)
% 11.25/11.45  (assume t901.t15.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.45  (assume t901.t15.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.45  (assume t901.t15.a2 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.45  (assume t901.t15.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.45  (assume t901.t15.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.45  (assume t901.t15.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.45  (assume t901.t15.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.45  (assume t901.t15.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.45  (assume t901.t15.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.45  (assume t901.t15.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.25/11.45  (assume t901.t15.a10 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.45  (assume t901.t15.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.45  (assume t901.t15.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.45  (assume t901.t15.a13 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.45  (assume t901.t15.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.45  (assume t901.t15.a15 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.45  (assume t901.t15.a16 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.45  (assume t901.t15.a17 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.45  (assume t901.t15.a18 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.45  (assume t901.t15.a19 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.45  (assume t901.t15.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.45  (step t901.t15.t1 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.45  (step t901.t15.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t901.t15.a8 t901.t15.t1))
% 11.25/11.45  (step t901.t15.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t901.t15.a8))
% 11.25/11.45  (step t901.t15.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t901.t15.t3 t901.t15.a7))
% 11.25/11.45  (step t901.t15.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t901.t15.a6))
% 11.25/11.45  (step t901.t15.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t901.t15.t5))
% 11.25/11.45  (step t901.t15.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t901.t15.a7))
% 11.25/11.45  (step t901.t15.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule cong :premises (t901.t15.t6 t901.t15.t7))
% 11.25/11.45  (step t901.t15.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t901.t15.a5))
% 11.25/11.45  (step t901.t15.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule symm :premises (t901.t15.t9))
% 11.25/11.45  (step t901.t15.t11 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t901.t15.a0))
% 11.25/11.45  (step t901.t15.t12 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t901.t15.a1))
% 11.25/11.45  (step t901.t15.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t901.t15.t11 t901.t15.t12))
% 11.25/11.45  (step t901.t15.t14 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t901.t15.t11))
% 11.25/11.45  (step t901.t15.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.45  (step t901.t15.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t901.t15.a8 t901.t15.t15))
% 11.25/11.45  (step t901.t15.t17 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t901.t15.t3 t901.t15.a15))
% 11.25/11.45  (step t901.t15.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t901.t15.a3))
% 11.25/11.45  (step t901.t15.t19 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.45  (step t901.t15.t20 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t901.t15.t18 t901.t15.t19))
% 11.25/11.45  (step t901.t15.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t901.t15.t20))
% 11.25/11.45  (step t901.t15.t22 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.45  (step t901.t15.t23 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t901.t15.a7 t901.t15.t2 t901.t15.t4 t901.t15.t8 t901.t15.t10 t901.t15.t13))
% 11.25/11.45  (step t901.t15.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t901.t15.t22 t901.t15.t23))
% 11.25/11.45  (step t901.t15.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t901.t15.t24))
% 11.25/11.45  (step t901.t15.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t901.t15.t12 t901.t15.a2 t901.t15.t21 t901.t15.a4 t901.t15.t25 t901.t15.t18))
% 11.25/11.45  (step t901.t15.t27 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t901.t15.t26))
% 11.25/11.45  (step t901.t15.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t901.t15.a15))
% 11.25/11.45  (step t901.t15.t29 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule cong :premises (t901.t15.t27 t901.t15.t28))
% 11.25/11.45  (step t901.t15.t30 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t901.t15.a14))
% 11.25/11.45  (step t901.t15.t31 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t901.t15.t30))
% 11.25/11.45  (step t901.t15.t32 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t901.t15.t14 t901.t15.t15))
% 11.25/11.45  (step t901.t15.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t901.t15.a4))
% 11.25/11.45  (step t901.t15.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t901.t15.a2))
% 11.25/11.45  (step t901.t15.t35 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t901.t15.a13))
% 11.25/11.45  (step t901.t15.t36 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t901.t15.t35))
% 11.25/11.45  (step t901.t15.t37 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t901.t15.t32 t901.t15.t5 t901.t15.a3 t901.t15.t24 t901.t15.t33 t901.t15.t20 t901.t15.t34 t901.t15.t36))
% 11.25/11.45  (step t901.t15.t38 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t901.t15.t15 t901.t15.t37))
% 11.25/11.45  (step t901.t15.t39 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t901.t15.a12))
% 11.25/11.45  (step t901.t15.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule symm :premises (t901.t15.t39))
% 11.25/11.45  (step t901.t15.t41 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t901.t15.t40))
% 11.25/11.45  (step t901.t15.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t901.t15.t26 t901.t15.a10))
% 11.25/11.45  (step t901.t15.t43 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t901.t15.a11))
% 11.25/11.45  (step t901.t15.t44 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule symm :premises (t901.t15.t43))
% 11.25/11.45  (step t901.t15.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t901.t15.t44))
% 11.25/11.45  (step t901.t15.t46 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.45  (step t901.t15.t47 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t901.t15.t3 t901.t15.t46))
% 11.25/11.45  (step t901.t15.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t901.t15.a10))
% 11.25/11.45  (step t901.t15.t49 (cl (= tptp.sk_c1 tptp.sk_c9)) :rule trans :premises (t901.t15.a15 t901.t15.t16 t901.t15.t17 t901.t15.t29 t901.t15.t31 t901.t15.t38 t901.t15.t41 t901.t15.t42 t901.t15.t45 t901.t15.t47 t901.t15.t48))
% 11.25/11.45  (step t901.t15.t50 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c9))) :rule cong :premises (t901.t15.t49))
% 11.25/11.45  (step t901.t15.t51 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c9))) :rule trans :premises (t901.t15.t14 t901.t15.t50))
% 11.25/11.45  (step t901.t15.t52 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t901.t15.a20))
% 11.25/11.45  (step t901.t15.t53 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t901.t15.t52))
% 11.25/11.45  (step t901.t15.t54 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t901.t15.a19))
% 11.25/11.45  (step t901.t15.t55 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t901.t15.t54 t901.t15.a2 t901.t15.t21 t901.t15.a4 t901.t15.t25 t901.t15.t18))
% 11.25/11.45  (step t901.t15.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t901.t15.t55 t901.t15.a17))
% 11.25/11.45  (step t901.t15.t57 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule symm :premises (t901.t15.a18))
% 11.25/11.45  (step t901.t15.t58 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.25/11.45  (step t901.t15.t59 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t901.t15.t3 t901.t15.t58))
% 11.25/11.45  (step t901.t15.t60 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t901.t15.a17))
% 11.25/11.45  (step t901.t15.t61 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t901.t15.t53 t901.t15.t56 t901.t15.t57 t901.t15.t59 t901.t15.t60))
% 11.25/11.45  (step t901.t15.t62 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t901.t15.a3 t901.t15.t24 t901.t15.t33 t901.t15.t20 t901.t15.t34))
% 11.25/11.45  (step t901.t15.t63 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t901.t15.t61 t901.t15.t62))
% 11.25/11.45  (step t901.t15.t64 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t901.t15.a16))
% 11.25/11.45  (step t901.t15.t65 (cl (= tptp.sk_c10 tptp.sk_c9)) :rule trans :premises (t901.t15.a2 t901.t15.t21 t901.t15.a4 t901.t15.t25 t901.t15.t18 t901.t15.a8 t901.t15.t63 t901.t15.t64))
% 11.25/11.45  (step t901.t15.t66 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule cong :premises (t901.t15.t51 t901.t15.t65))
% 11.25/11.45  (step t901.t15.t67 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t901.t15.a9))
% 11.25/11.45  (step t901.t15.t68 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule symm :premises (t901.t15.t67))
% 11.25/11.45  (step t901.t15.t69 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t901.t15.t68))
% 11.25/11.45  (step t901.t15.t70 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t901.t15.t12))
% 11.25/11.45  (step t901.t15.t71 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t901.t15.t15 t901.t15.t14))
% 11.25/11.45  (step t901.t15.t72 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t901.t15.a7 t901.t15.t2 t901.t15.t4 t901.t15.t8 t901.t15.t10 t901.t15.t13 t901.t15.t66 t901.t15.t69 t901.t15.a3 t901.t15.t24 t901.t15.t33 t901.t15.t20 t901.t15.t34 t901.t15.t70 t901.t15.t71))
% 11.25/11.45  (step t901.t15 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t901.t15.a0 t901.t15.a1 t901.t15.a2 t901.t15.a3 t901.t15.a4 t901.t15.a5 t901.t15.a6 t901.t15.a7 t901.t15.a8 t901.t15.a9 t901.t15.a10 t901.t15.a11 t901.t15.a12 t901.t15.a13 t901.t15.a14 t901.t15.a15 t901.t15.a16 t901.t15.a17 t901.t15.a18 t901.t15.a19 t901.t15.a20))
% 11.25/11.45  (step t901.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t901.t17 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t901.t18 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t901.t19 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t901.t20 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.45  (step t901.t21 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.45  (step t901.t22 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t901.t23 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t901.t24 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.45  (step t901.t25 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t901.t26 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t901.t27 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t901.t28 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t901.t29 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t901.t30 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.45  (step t901.t31 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t901.t32 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t901.t33 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t901.t34 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.45  (step t901.t35 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t901.t36 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t901.t37 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t901.t15 t901.t16 t901.t17 t901.t18 t901.t19 t901.t20 t901.t21 t901.t22 t901.t23 t901.t24 t901.t25 t901.t26 t901.t27 t901.t28 t901.t29 t901.t30 t901.t31 t901.t32 t901.t33 t901.t34 t901.t35 t901.t36))
% 11.25/11.45  (step t901.t38 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t901.t37))
% 11.25/11.45  (step t901.t39 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t901.t38))
% 11.25/11.45  (step t901.t40 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t901.t14 t901.t39))
% 11.25/11.45  (step t901.t41 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.45  (step t901.t42 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t901.t40 t901.t41))
% 11.25/11.45  (step t901.t43 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t901.t42))
% 11.25/11.45  (step t901.t44 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t901.t43))
% 11.25/11.45  (step t901.t45 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.25/11.45  (step t901.t46 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t901.t45 t901.a3 t901.a0 t901.a6 t901.a10 t901.a12 t901.a11 t901.a8 t901.a9 t901.a5 t901.a19 t901.a18 t901.a17 t901.a20 t901.a4 t901.a13 t901.a7 t901.a1 t901.a15 t901.a14 t901.a2 t901.a16))
% 11.25/11.45  (step t901.t47 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t901.t44 t901.t46))
% 11.25/11.45  (step t901.t48 (cl (and (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t901.t13 t901.t47 t901.a3))
% 11.25/11.45  (step t901.t49 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t901.t12 t901.t48))
% 11.25/11.45  (step t901 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t901.a0 t901.a1 t901.a2 t901.a3 t901.a4 t901.a5 t901.a6 t901.a7 t901.a8 t901.a9 t901.a10 t901.a11 t901.a12 t901.a13 t901.a14 t901.a15 t901.a16 t901.a17 t901.a18 t901.a19 t901.a20))
% 11.25/11.45  (step t902 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t903 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t904 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t905 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t906 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t907 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.45  (step t908 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.45  (step t909 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t910 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.45  (step t911 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t912 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.45  (step t913 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.45  (step t914 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.45  (step t915 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.45  (step t916 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.45  (step t917 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t918 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.45  (step t919 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t920 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t921 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.25/11.45  (step t922 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.45  (step t923 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))))) :rule resolution :premises (t901 t902 t903 t904 t905 t906 t907 t908 t909 t910 t911 t912 t913 t914 t915 t916 t917 t918 t919 t920 t921 t922))
% 11.25/11.45  (step t924 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t923))
% 11.25/11.46  (step t925 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t924))
% 11.25/11.46  (step t926 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t900 t925))
% 11.25/11.46  (step t927 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.46  (step t928 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t926 t927))
% 11.25/11.46  (step t929 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t928))
% 11.25/11.46  (step t930 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t929))
% 11.25/11.46  (step t931 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t842 t930))
% 11.25/11.46  (step t932 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t931))
% 11.25/11.46  (step t933 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule and_neg)
% 11.25/11.46  (step t934 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t935)
% 11.25/11.46  (assume t935.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.46  (assume t935.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.46  (assume t935.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.46  (assume t935.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.46  (assume t935.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.46  (assume t935.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.46  (assume t935.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.46  (assume t935.a7 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.46  (assume t935.a8 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.46  (assume t935.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.46  (assume t935.a10 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.46  (assume t935.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.46  (assume t935.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.46  (assume t935.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.46  (assume t935.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t935.a15 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.46  (assume t935.a16 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.46  (assume t935.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.46  (assume t935.a18 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.46  (assume t935.a19 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.46  (assume t935.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.25/11.46  (assume t935.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.46  (step t935.t1 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t935.t2)
% 11.25/11.46  (assume t935.t2.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.46  (assume t935.t2.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.46  (assume t935.t2.a2 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.46  (assume t935.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.46  (assume t935.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.46  (assume t935.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.46  (assume t935.t2.a6 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.46  (assume t935.t2.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.46  (assume t935.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.46  (assume t935.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.46  (assume t935.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.46  (assume t935.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t935.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.46  (assume t935.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.46  (assume t935.t2.a14 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.46  (assume t935.t2.a15 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.46  (assume t935.t2.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.46  (assume t935.t2.a17 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.46  (assume t935.t2.a18 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.25/11.46  (assume t935.t2.a19 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))))
% 11.25/11.46  (assume t935.t2.a20 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.46  (assume t935.t2.a21 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))
% 11.25/11.46  (step t935.t2.t1 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t935.t2.a0))
% 11.25/11.46  (step t935.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t935.t2.a3))
% 11.25/11.46  (step t935.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.46  (step t935.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t935.t2.t2 t935.t2.t3))
% 11.25/11.46  (step t935.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule symm :premises (t935.t2.t4))
% 11.25/11.46  (step t935.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t935.t2.a2))
% 11.25/11.46  (step t935.t2.t7 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t935.t2.a3 t935.t2.t6))
% 11.25/11.46  (step t935.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t935.t2.t7))
% 11.25/11.46  (step t935.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t935.t2.a4))
% 11.25/11.46  (step t935.t2.t10 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t935.t2.t9))
% 11.25/11.46  (step t935.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t935.t2.t10))
% 11.25/11.46  (step t935.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t935.t2.t11 t935.t2.a2))
% 11.25/11.46  (step t935.t2.t13 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t935.t2.t12))
% 11.25/11.46  (step t935.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t935.t2.a5))
% 11.25/11.46  (step t935.t2.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule symm :premises (t935.t2.t14))
% 11.25/11.46  (step t935.t2.t16 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t935.t2.t1))
% 11.25/11.46  (step t935.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t935.t2.a6))
% 11.25/11.46  (step t935.t2.t18 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t935.t2.t17))
% 11.25/11.46  (step t935.t2.t19 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule cong :premises (t935.t2.t16 t935.t2.t18))
% 11.25/11.46  (step t935.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t935.t2.t19))
% 11.25/11.46  (step t935.t2.t21 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.46  (step t935.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule cong :premises (t935.t2.a3 t935.t2.t21))
% 11.25/11.46  (step t935.t2.t23 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t935.t2.a15))
% 11.25/11.46  (step t935.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule symm :premises (t935.t2.t23))
% 11.25/11.46  (step t935.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t935.t2.a8))
% 11.25/11.46  (step t935.t2.t26 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.46  (step t935.t2.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t935.t2.t25 t935.t2.t26))
% 11.25/11.46  (step t935.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t935.t2.t27))
% 11.25/11.46  (step t935.t2.t29 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.46  (step t935.t2.t30 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t935.t2.a2 t935.t2.t5 t935.t2.t8 t935.t2.t13 t935.t2.t15 t935.t2.t20))
% 11.25/11.46  (step t935.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t935.t2.t29 t935.t2.t30))
% 11.25/11.46  (step t935.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t935.t2.t31))
% 11.25/11.46  (step t935.t2.t33 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t935.t2.t17 t935.t2.a10 t935.t2.t28 t935.t2.a9 t935.t2.t32 t935.t2.t25))
% 11.25/11.46  (step t935.t2.t34 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t935.t2.t33))
% 11.25/11.46  (step t935.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t935.t2.a14))
% 11.25/11.46  (step t935.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule cong :premises (t935.t2.t34 t935.t2.t35))
% 11.25/11.46  (step t935.t2.t37 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t935.t2.a13))
% 11.25/11.46  (step t935.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule symm :premises (t935.t2.t37))
% 11.25/11.46  (step t935.t2.t39 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.46  (step t935.t2.t40 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t935.t2.a12))
% 11.25/11.46  (step t935.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule cong :premises (t935.t2.t1 t935.t2.t39))
% 11.25/11.46  (step t935.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule trans :premises (t935.t2.t40 t935.t2.a10 t935.t2.t28 t935.t2.a9 t935.t2.t32 t935.t2.t25 t935.t2.t10 t935.t2.t41))
% 11.25/11.46  (step t935.t2.t43 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule cong :premises (t935.t2.t39 t935.t2.t42))
% 11.25/11.46  (step t935.t2.t44 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t935.t2.a11))
% 11.25/11.46  (step t935.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t935.t2.t33 t935.t2.a7))
% 11.25/11.46  (step t935.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t935.t2.a7))
% 11.25/11.46  (step t935.t2.t47 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t935.t2.a3 t935.t2.t46))
% 11.25/11.46  (step t935.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t935.t2.t2 t935.t2.t39))
% 11.25/11.46  (step t935.t2.t49 (cl (= tptp.sk_c9 tptp.sk_c1)) :rule trans :premises (t935.t2.a14 t935.t2.t22 t935.t2.t24 t935.t2.t36 t935.t2.t38 t935.t2.t43 t935.t2.t44 t935.t2.t45 t935.t2.t47 t935.t2.t48 t935.t2.t46))
% 11.25/11.46  (step t935.t2.t50 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.sk_c1))) :rule cong :premises (t935.t2.t49))
% 11.25/11.46  (step t935.t2.t51 (cl (= (tptp.inverse tptp.sk_c9) tptp.sk_c11)) :rule trans :premises (t935.t2.t50 t935.t2.t1))
% 11.25/11.46  (step t935.t2.t52 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t935.t2.a20))
% 11.25/11.46  (step t935.t2.t53 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule symm :premises (t935.t2.t52))
% 11.25/11.46  (step t935.t2.t54 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.25/11.46  (step t935.t2.t55 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t935.t2.a3 t935.t2.t54))
% 11.25/11.46  (step t935.t2.t56 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule symm :premises (t935.t2.a19))
% 11.25/11.46  (step t935.t2.t57 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule symm :premises (t935.t2.t56))
% 11.25/11.46  (step t935.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t935.t2.a9))
% 11.25/11.46  (step t935.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t935.t2.a10))
% 11.25/11.46  (step t935.t2.t60 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t935.t2.a17))
% 11.25/11.46  (step t935.t2.t61 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t935.t2.t60))
% 11.25/11.46  (step t935.t2.t62 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t935.t2.a8 t935.t2.t31 t935.t2.t58 t935.t2.t27 t935.t2.t59 t935.t2.t61))
% 11.25/11.46  (step t935.t2.t63 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t935.t2.a18))
% 11.25/11.46  (step t935.t2.t64 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t935.t2.t62 t935.t2.t63))
% 11.25/11.46  (step t935.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t935.t2.a16))
% 11.25/11.46  (step t935.t2.t66 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t935.t2.t65))
% 11.25/11.46  (step t935.t2.t67 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t935.t2.t66))
% 11.25/11.46  (step t935.t2.t68 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t935.t2.a18 t935.t2.t55 t935.t2.t57 t935.t2.t64 t935.t2.t67))
% 11.25/11.46  (step t935.t2.t69 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t935.t2.a10 t935.t2.t28 t935.t2.a9 t935.t2.t32 t935.t2.t25))
% 11.25/11.46  (step t935.t2.t70 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t935.t2.t68 t935.t2.t69))
% 11.25/11.46  (step t935.t2.t71 (cl (= tptp.sk_c9 tptp.sk_c10)) :rule trans :premises (t935.t2.t53 t935.t2.t70 t935.t2.t2 t935.t2.a8 t935.t2.t31 t935.t2.t58 t935.t2.t27 t935.t2.t59))
% 11.25/11.46  (step t935.t2.t72 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t935.t2.t51 t935.t2.t71))
% 11.25/11.46  (step t935.t2.t73 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule symm :premises (t935.t2.t72))
% 11.25/11.46  (step t935.t2.t74 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9) tptp.identity)) :rule symm :premises (t935.t2.a21))
% 11.25/11.46  (step t935.t2.t75 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.identity))) :rule cong :premises (t935.t2.t68))
% 11.25/11.46  (step t935.t2.t76 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule symm :premises (t935.t2.t74))
% 11.25/11.46  (step t935.t2.t77 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t935.t2.t15))
% 11.25/11.46  (step t935.t2.t78 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule trans :premises (t935.t2.t76 t935.t2.t72 t935.t2.t19 t935.t2.t77 t935.t2.t12 t935.t2.t7 t935.t2.t4 t935.t2.t6 t935.t2.a1))
% 11.25/11.46  (step t935.t2.t79 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t935.t2.t78))
% 11.25/11.46  (step t935.t2.t80 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t935.t2.a1))
% 11.25/11.46  (step t935.t2.t81 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c11))) :rule cong :premises (t935.t2.t80))
% 11.25/11.46  (step t935.t2.t82 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t935.t2.t16))
% 11.25/11.46  (step t935.t2.t83 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t935.t2.t1 t935.t2.a2 t935.t2.t5 t935.t2.t8 t935.t2.t13 t935.t2.t15 t935.t2.t20 t935.t2.t73 t935.t2.t74 t935.t2.a8 t935.t2.t31 t935.t2.t58 t935.t2.t27 t935.t2.t59 t935.t2.t61 t935.t2.t75 t935.t2.t79 t935.t2.t81 t935.t2.t82))
% 11.25/11.46  (step t935.t2 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t935.t2.a0 t935.t2.a1 t935.t2.a2 t935.t2.a3 t935.t2.a4 t935.t2.a5 t935.t2.a6 t935.t2.a7 t935.t2.a8 t935.t2.a9 t935.t2.a10 t935.t2.a11 t935.t2.a12 t935.t2.a13 t935.t2.a14 t935.t2.a15 t935.t2.a16 t935.t2.a17 t935.t2.a18 t935.t2.a19 t935.t2.a20 t935.t2.a21))
% 11.25/11.46  (step t935.t3 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t935.t4 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.46  (step t935.t5 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t935.t6 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.46  (step t935.t7 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t935.t8 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t935.t9 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t935.t10 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t935.t11 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t935.t12 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.46  (step t935.t13 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t935.t14 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t935.t15 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t935.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t935.t17 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t935.t18 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t935.t19 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.46  (step t935.t20 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.46  (step t935.t21 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.46  (step t935.t22 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.46  (step t935.t23 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t935.t24 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t935.t25 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))))) :rule resolution :premises (t935.t2 t935.t3 t935.t4 t935.t5 t935.t6 t935.t7 t935.t8 t935.t9 t935.t10 t935.t11 t935.t12 t935.t13 t935.t14 t935.t15 t935.t16 t935.t17 t935.t18 t935.t19 t935.t20 t935.t21 t935.t22 t935.t23 t935.t24))
% 11.25/11.46  (step t935.t26 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t935.t25))
% 11.25/11.46  (step t935.t27 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t935.t26))
% 11.25/11.46  (step t935.t28 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t935.t1 t935.t27))
% 11.25/11.46  (step t935.t29 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.46  (step t935.t30 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t935.t28 t935.t29))
% 11.25/11.46  (step t935.t31 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t935.t30))
% 11.25/11.46  (step t935.t32 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t935.t31))
% 11.25/11.46  (step t935.t33 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule and_neg)
% 11.25/11.46  (step t935.t34 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) :rule resolution :premises (t935.t33 t935.a4 t935.a1 t935.a10 t935.a6 t935.a9 t935.a12 t935.a0 t935.a8 t935.a11 t935.a13 t935.a7 t935.a14 t935.a5 t935.a21 t935.a19 t935.a18 t935.a17 t935.a3 t935.a16 t935.a15 t935.a2 t935.a20))
% 11.25/11.46  (step t935.t35 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t935.t32 t935.t34))
% 11.25/11.46  (step t935 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t935.a0 t935.a1 t935.a2 t935.a3 t935.a4 t935.a5 t935.a6 t935.a7 t935.a8 t935.a9 t935.a10 t935.a11 t935.a12 t935.a13 t935.a14 t935.a15 t935.a16 t935.a17 t935.a18 t935.a19 t935.a20 t935.a21))
% 11.25/11.46  (step t936 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t937 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.46  (step t938 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t939 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.46  (step t940 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t941 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t942 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.46  (step t943 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t944 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t945 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t946 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t947 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t948 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t949 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.46  (step t950 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t951 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_pos)
% 11.25/11.46  (step t952 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.25/11.46  (step t953 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.46  (step t954 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t955 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t956 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t957 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t958 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))))) :rule resolution :premises (t935 t936 t937 t938 t939 t940 t941 t942 t943 t944 t945 t946 t947 t948 t949 t950 t951 t952 t953 t954 t955 t956 t957))
% 11.25/11.46  (step t959 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t958))
% 11.25/11.46  (step t960 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t959))
% 11.25/11.46  (step t961 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t934 t960))
% 11.25/11.46  (step t962 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.46  (step t963 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t961 t962))
% 11.25/11.46  (step t964 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t963))
% 11.25/11.46  (step t965 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t964))
% 11.25/11.46  (step t966 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t933 t965))
% 11.25/11.46  (step t967 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t966))
% 11.25/11.46  (step t968 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t816 t823 t837 t839 t841 t562 t875 t175 t883 t183 t191 t199 t323 t331 t891 t231 t751 t239 t247 t759 t899 t255 t263 t932 t175 t883 t183 t191 t199 t323 t331 t891 t231 t751 t239 t247 t759 t899 t255 t263 t967 t175 t883 t183 t191 t199 t323 t331 t891 t231 t751 t239 t247 t759 t899 t255 t263 t785 t199 t323 t331 t231 t751 t239 t247 t759 t255 t263 t573))
% 11.25/11.46  (step t969 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t968))
% 11.25/11.46  (step t970 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.25/11.46  (step t971 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule all_simplify)
% 11.25/11.46  (step t972 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t971 t610))
% 11.25/11.46  (step t973 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t970 t972 a35))
% 11.25/11.46  (step t974 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t973))
% 11.25/11.46  (step t975 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule reordering :premises (t974))
% 11.25/11.46  (step t976 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.25/11.46  (step t977 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t971 t604))
% 11.25/11.46  (step t978 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t976 t977 a36))
% 11.25/11.46  (step t979 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t978))
% 11.25/11.46  (step t980 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule reordering :premises (t979))
% 11.25/11.46  (step t981 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.25/11.46  (step t982 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t971 t580))
% 11.25/11.46  (step t983 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t981 t982 a34))
% 11.25/11.46  (step t984 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t983))
% 11.25/11.46  (step t985 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule reordering :premises (t984))
% 11.25/11.46  (step t986 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule resolution :premises (t969 t975 t980 t985))
% 11.25/11.46  (step t987 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule contraction :premises (t986))
% 11.25/11.46  (step t988 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule and_neg)
% 11.25/11.46  (step t989 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t990)
% 11.25/11.46  (assume t990.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.46  (assume t990.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.46  (assume t990.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.46  (assume t990.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.46  (assume t990.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.46  (assume t990.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.46  (assume t990.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.46  (assume t990.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.46  (assume t990.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.46  (assume t990.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.46  (assume t990.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.46  (assume t990.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.46  (assume t990.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.46  (assume t990.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t990.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.46  (assume t990.a15 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.46  (assume t990.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.46  (assume t990.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.46  (assume t990.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t990.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.46  (step t990.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t990.t2)
% 11.25/11.46  (assume t990.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.46  (assume t990.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.46  (assume t990.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.46  (assume t990.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t990.t2.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.46  (assume t990.t2.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.46  (assume t990.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.46  (assume t990.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.46  (assume t990.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.46  (assume t990.t2.a9 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.46  (assume t990.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.46  (assume t990.t2.a11 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.46  (assume t990.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t990.t2.a13 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.46  (assume t990.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.46  (assume t990.t2.a15 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.46  (assume t990.t2.a16 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.46  (assume t990.t2.a17 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.46  (assume t990.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.46  (assume t990.t2.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.46  (step t990.t2.t1 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t990.t2.a8))
% 11.25/11.46  (step t990.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t990.t2.a1))
% 11.25/11.46  (step t990.t2.t3 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.46  (step t990.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t990.t2.t2 t990.t2.t3))
% 11.25/11.46  (step t990.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule symm :premises (t990.t2.t4))
% 11.25/11.46  (step t990.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t990.t2.a5))
% 11.25/11.46  (step t990.t2.t7 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t990.t2.a1 t990.t2.t6))
% 11.25/11.46  (step t990.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t990.t2.t7))
% 11.25/11.46  (step t990.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t990.t2.a19))
% 11.25/11.46  (step t990.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t990.t2.t9 t990.t2.a5))
% 11.25/11.46  (step t990.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t990.t2.t10))
% 11.25/11.46  (step t990.t2.t12 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t990.t2.a4))
% 11.25/11.46  (step t990.t2.t13 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t990.t2.t12))
% 11.25/11.46  (step t990.t2.t14 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.46  (step t990.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t990.t2.a1 t990.t2.t14))
% 11.25/11.46  (step t990.t2.t16 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t990.t2.t2 t990.t2.a0))
% 11.25/11.46  (step t990.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t990.t2.a9))
% 11.25/11.46  (step t990.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t990.t2.a11))
% 11.25/11.46  (step t990.t2.t19 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t990.t2.t18))
% 11.25/11.46  (step t990.t2.t20 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.46  (step t990.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t990.t2.a2 t990.t2.t20))
% 11.25/11.46  (step t990.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t990.t2.a10))
% 11.25/11.46  (step t990.t2.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t990.t2.t22))
% 11.25/11.46  (step t990.t2.t24 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.46  (step t990.t2.t25 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t990.t2.t1))
% 11.25/11.46  (step t990.t2.t26 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t990.t2.t17))
% 11.25/11.46  (step t990.t2.t27 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule cong :premises (t990.t2.t25 t990.t2.t26))
% 11.25/11.46  (step t990.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t990.t2.a7))
% 11.25/11.46  (step t990.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t990.t2.a6))
% 11.25/11.46  (step t990.t2.t30 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t990.t2.t29 t990.t2.a5))
% 11.25/11.46  (step t990.t2.t31 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11)) :rule trans :premises (t990.t2.t27 t990.t2.t28 t990.t2.t30 t990.t2.t7 t990.t2.t4 t990.t2.t6))
% 11.25/11.46  (step t990.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t990.t2.t24 t990.t2.t31))
% 11.25/11.46  (step t990.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t990.t2.a2))
% 11.25/11.46  (step t990.t2.t34 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t990.t2.t17 t990.t2.t19 t990.t2.t21 t990.t2.t23 t990.t2.t32 t990.t2.t33))
% 11.25/11.46  (step t990.t2.t35 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t990.t2.t34))
% 11.25/11.46  (step t990.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t990.t2.a0))
% 11.25/11.46  (step t990.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule cong :premises (t990.t2.t35 t990.t2.t36))
% 11.25/11.46  (step t990.t2.t38 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t990.t2.a12))
% 11.25/11.46  (step t990.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t990.t2.t38))
% 11.25/11.46  (step t990.t2.t40 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t990.t2.t25 t990.t2.t14))
% 11.25/11.46  (step t990.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t990.t2.t32))
% 11.25/11.46  (step t990.t2.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t990.t2.t21))
% 11.25/11.46  (step t990.t2.t43 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t990.t2.a13))
% 11.25/11.46  (step t990.t2.t44 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t990.t2.t43))
% 11.25/11.46  (step t990.t2.t45 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t990.t2.t40 t990.t2.t29 t990.t2.a2 t990.t2.t41 t990.t2.t22 t990.t2.t42 t990.t2.t18 t990.t2.t44))
% 11.25/11.46  (step t990.t2.t46 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t990.t2.t14 t990.t2.t45))
% 11.25/11.46  (step t990.t2.t47 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t990.t2.a14))
% 11.25/11.46  (step t990.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t990.t2.t34 t990.t2.a15))
% 11.25/11.46  (step t990.t2.t49 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t990.t2.a16))
% 11.25/11.46  (step t990.t2.t50 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.46  (step t990.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t990.t2.t2 t990.t2.t50))
% 11.25/11.46  (step t990.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t990.t2.a15))
% 11.25/11.46  (step t990.t2.t53 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9)) :rule symm :premises (t990.t2.a17))
% 11.25/11.46  (step t990.t2.t54 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule symm :premises (t990.t2.t53))
% 11.25/11.46  (step t990.t2.t55 (cl (= tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t990.t2.a0 t990.t2.t15 t990.t2.t16 t990.t2.t37 t990.t2.t39 t990.t2.t46 t990.t2.t47 t990.t2.t48 t990.t2.t49 t990.t2.t51 t990.t2.t52 t990.t2.t54))
% 11.25/11.46  (step t990.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t990.t2.t13 t990.t2.t55))
% 11.25/11.46  (step t990.t2.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t990.t2.t56))
% 11.25/11.46  (step t990.t2.t58 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule trans :premises (t990.t2.t27 t990.t2.t28 t990.t2.t30 t990.t2.t11 t990.t2.a18 t990.t2.t57))
% 11.25/11.46  (step t990.t2.t59 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule cong :premises (t990.t2.t24 t990.t2.t58))
% 11.25/11.46  (step t990.t2.t60 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t990.t2.a3))
% 11.25/11.46  (step t990.t2.t61 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t990.t2.t33 t990.t2.a0))
% 11.25/11.46  (step t990.t2.t62 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule symm :premises (t990.t2.t16))
% 11.25/11.46  (step t990.t2.t63 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule symm :premises (t990.t2.t15))
% 11.25/11.46  (step t990.t2.t64 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t990.t2.a2 t990.t2.t41 t990.t2.t59 t990.t2.t60 t990.t2.t61 t990.t2.t62 t990.t2.t63 t990.t2.t36))
% 11.25/11.46  (step t990.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t990.t2.t40))
% 11.25/11.46  (step t990.t2.t66 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t990.t2.a18))
% 11.25/11.46  (step t990.t2.t67 (cl (= tptp.identity (tptp.inverse tptp.sk_c1))) :rule trans :premises (t990.t2.a6 t990.t2.t65 t990.t2.t56 t990.t2.t66 t990.t2.t10 t990.t2.t7 t990.t2.t4 t990.t2.t6 t990.t2.t25))
% 11.25/11.46  (step t990.t2.t68 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t990.t2.t64 t990.t2.t67))
% 11.25/11.46  (step t990.t2.t69 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t990.t2.t1 t990.t2.a5 t990.t2.t5 t990.t2.t8 t990.t2.t11 t990.t2.a18 t990.t2.t57 t990.t2.t40 t990.t2.t29 t990.t2.a1 t990.t2.t68))
% 11.25/11.46  (step t990.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t990.t2.a0 t990.t2.a1 t990.t2.a2 t990.t2.a3 t990.t2.a4 t990.t2.a5 t990.t2.a6 t990.t2.a7 t990.t2.a8 t990.t2.a9 t990.t2.a10 t990.t2.a11 t990.t2.a12 t990.t2.a13 t990.t2.a14 t990.t2.a15 t990.t2.a16 t990.t2.a17 t990.t2.a18 t990.t2.a19))
% 11.25/11.46  (step t990.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t990.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.46  (step t990.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t990.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t990.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t990.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t990.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t990.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t990.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t990.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t990.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.46  (step t990.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t990.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t990.t16 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t990.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t990.t18 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t990.t19 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t990.t20 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t990.t21 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t990.t22 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t990.t23 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t990.t2 t990.t3 t990.t4 t990.t5 t990.t6 t990.t7 t990.t8 t990.t9 t990.t10 t990.t11 t990.t12 t990.t13 t990.t14 t990.t15 t990.t16 t990.t17 t990.t18 t990.t19 t990.t20 t990.t21 t990.t22))
% 11.25/11.46  (step t990.t24 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t990.t23))
% 11.25/11.46  (step t990.t25 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t990.t24))
% 11.25/11.46  (step t990.t26 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t990.t1 t990.t25))
% 11.25/11.46  (step t990.t27 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.46  (step t990.t28 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t990.t26 t990.t27))
% 11.25/11.46  (step t990.t29 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t990.t28))
% 11.25/11.46  (step t990.t30 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t990.t29))
% 11.25/11.46  (step t990.t31 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 11.25/11.46  (step t990.t32 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t990.t31 t990.a7 t990.a5 t990.a10 t990.a18 t990.a4 t990.a9 t990.a8 t990.a11 t990.a1 t990.a0 t990.a12 t990.a6 t990.a13 t990.a2 t990.a16 t990.a15 t990.a14 t990.a3 t990.a19 t990.a17))
% 11.25/11.46  (step t990.t33 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t990.t30 t990.t32))
% 11.25/11.46  (step t990 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t990.a0 t990.a1 t990.a2 t990.a3 t990.a4 t990.a5 t990.a6 t990.a7 t990.a8 t990.a9 t990.a10 t990.a11 t990.a12 t990.a13 t990.a14 t990.a15 t990.a16 t990.a17 t990.a18 t990.a19))
% 11.25/11.46  (step t991 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t992 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t993 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t994 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t995 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t996 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.46  (step t997 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t998 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t999 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1000 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1001 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1002 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1003 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.46  (step t1004 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t1005 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1006 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t1007 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1008 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t1009 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t1010 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1011 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))))) :rule resolution :premises (t990 t991 t992 t993 t994 t995 t996 t997 t998 t999 t1000 t1001 t1002 t1003 t1004 t1005 t1006 t1007 t1008 t1009 t1010))
% 11.25/11.46  (step t1012 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1011))
% 11.25/11.46  (step t1013 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1012))
% 11.25/11.46  (step t1014 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t989 t1013))
% 11.25/11.46  (step t1015 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.46  (step t1016 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t1014 t1015))
% 11.25/11.46  (step t1017 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t1016))
% 11.25/11.46  (step t1018 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t1017))
% 11.25/11.46  (step t1019 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t988 t1018))
% 11.25/11.46  (step t1020 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1019))
% 11.25/11.46  (step t1021 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t1022)
% 11.25/11.46  (assume t1022.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.46  (step t1022.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c2)) (:= Y tptp.sk_c2) (:= Z tptp.sk_c11)))
% 11.25/11.46  (step t1022.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule or :premises (t1022.t1))
% 11.25/11.46  (step t1022.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule resolution :premises (t1022.t2 t1022.a0))
% 11.25/11.46  (step t1022 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule subproof :discharge (t1022.a0))
% 11.25/11.46  (step t1023 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule resolution :premises (t1021 t1022))
% 11.25/11.46  (step t1024 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule implies_neg2)
% 11.25/11.46  (step t1025 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule resolution :premises (t1023 t1024))
% 11.25/11.46  (step t1026 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule contraction :premises (t1025))
% 11.25/11.46  (step t1027 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule implies :premises (t1026))
% 11.25/11.46  (step t1028 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule resolution :premises (t1027 a2))
% 11.25/11.46  (step t1029 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t1030)
% 11.25/11.46  (assume t1030.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.25/11.46  (step t1030.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c11)) (:= Y tptp.sk_c11) (:= Z tptp.sk_c1)))
% 11.25/11.46  (step t1030.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule or :premises (t1030.t1))
% 11.25/11.46  (step t1030.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule resolution :premises (t1030.t2 t1030.a0))
% 11.25/11.46  (step t1030 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule subproof :discharge (t1030.a0))
% 11.25/11.46  (step t1031 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule resolution :premises (t1029 t1030))
% 11.25/11.46  (step t1032 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.46  (step t1033 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule resolution :premises (t1031 t1032))
% 11.25/11.46  (step t1034 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule contraction :premises (t1033))
% 11.25/11.46  (step t1035 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule implies :premises (t1034))
% 11.25/11.46  (step t1036 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule resolution :premises (t1035 a2))
% 11.25/11.46  (step t1037 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t1038)
% 11.25/11.46  (assume t1038.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.25/11.46  (step t1038.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.25/11.46  (step t1038.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t1038.t1))
% 11.25/11.46  (step t1038.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t1038.t2 t1038.a0))
% 11.25/11.46  (step t1038 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t1038.a0))
% 11.25/11.46  (step t1039 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t1037 t1038))
% 11.25/11.46  (step t1040 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 11.25/11.46  (step t1041 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t1039 t1040))
% 11.25/11.46  (step t1042 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t1041))
% 11.25/11.46  (step t1043 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t1042))
% 11.25/11.46  (step t1044 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t1043 t147))
% 11.25/11.46  (step t1045 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t1046)
% 11.25/11.46  (assume t1046.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.46  (assume t1046.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.46  (assume t1046.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.46  (assume t1046.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.46  (assume t1046.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.46  (assume t1046.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.46  (assume t1046.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.46  (assume t1046.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.46  (assume t1046.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.46  (assume t1046.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.46  (assume t1046.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.46  (assume t1046.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.46  (assume t1046.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.46  (assume t1046.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t1046.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.46  (assume t1046.a15 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.46  (assume t1046.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.46  (assume t1046.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.46  (assume t1046.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t1046.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.46  (step t1046.t1 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t1046.t2)
% 11.25/11.46  (assume t1046.t2.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.46  (assume t1046.t2.a1 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.46  (assume t1046.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.46  (assume t1046.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.46  (assume t1046.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.46  (assume t1046.t2.a5 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.46  (assume t1046.t2.a6 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.46  (assume t1046.t2.a7 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.46  (assume t1046.t2.a8 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.46  (assume t1046.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.46  (assume t1046.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.46  (assume t1046.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.46  (assume t1046.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.46  (assume t1046.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.46  (assume t1046.t2.a14 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.46  (assume t1046.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.46  (assume t1046.t2.a16 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.46  (assume t1046.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t1046.t2.a18 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.46  (assume t1046.t2.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (step t1046.t2.t1 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.46  (step t1046.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t1046.t2.a2 t1046.t2.t1))
% 11.25/11.46  (step t1046.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1046.t2.a2))
% 11.25/11.46  (step t1046.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t1046.t2.t3 t1046.t2.a18))
% 11.25/11.46  (step t1046.t2.t5 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1046.t2.a12))
% 11.25/11.46  (step t1046.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1046.t2.a14))
% 11.25/11.46  (step t1046.t2.t7 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1046.t2.t6))
% 11.25/11.46  (step t1046.t2.t8 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.46  (step t1046.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t1046.t2.a9 t1046.t2.t8))
% 11.25/11.46  (step t1046.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1046.t2.a13))
% 11.25/11.46  (step t1046.t2.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t1046.t2.t10))
% 11.25/11.46  (step t1046.t2.t12 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.46  (step t1046.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t1046.t2.a0))
% 11.25/11.46  (step t1046.t2.t14 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1046.t2.t13))
% 11.25/11.46  (step t1046.t2.t15 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1046.t2.t5))
% 11.25/11.46  (step t1046.t2.t16 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule cong :premises (t1046.t2.t14 t1046.t2.t15))
% 11.25/11.46  (step t1046.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t1046.t2.a11))
% 11.25/11.46  (step t1046.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1046.t2.a10))
% 11.25/11.46  (step t1046.t2.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1046.t2.t18 t1046.t2.a1))
% 11.25/11.46  (step t1046.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1046.t2.a1))
% 11.25/11.46  (step t1046.t2.t21 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t1046.t2.a2 t1046.t2.t20))
% 11.25/11.46  (step t1046.t2.t22 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.46  (step t1046.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t1046.t2.t3 t1046.t2.t22))
% 11.25/11.46  (step t1046.t2.t24 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11)) :rule trans :premises (t1046.t2.t16 t1046.t2.t17 t1046.t2.t19 t1046.t2.t21 t1046.t2.t23 t1046.t2.t20))
% 11.25/11.46  (step t1046.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1046.t2.t12 t1046.t2.t24))
% 11.25/11.46  (step t1046.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1046.t2.a9))
% 11.25/11.46  (step t1046.t2.t27 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t1046.t2.t5 t1046.t2.t7 t1046.t2.t9 t1046.t2.t11 t1046.t2.t25 t1046.t2.t26))
% 11.25/11.46  (step t1046.t2.t28 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1046.t2.t27))
% 11.25/11.46  (step t1046.t2.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t1046.t2.a18))
% 11.25/11.46  (step t1046.t2.t30 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule cong :premises (t1046.t2.t28 t1046.t2.t29))
% 11.25/11.46  (step t1046.t2.t31 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t1046.t2.a17))
% 11.25/11.46  (step t1046.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t1046.t2.t31))
% 11.25/11.46  (step t1046.t2.t33 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t1046.t2.t14 t1046.t2.t1))
% 11.25/11.46  (step t1046.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t1046.t2.t25))
% 11.25/11.46  (step t1046.t2.t35 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1046.t2.t9))
% 11.25/11.46  (step t1046.t2.t36 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t1046.t2.a16))
% 11.25/11.46  (step t1046.t2.t37 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t1046.t2.t36))
% 11.25/11.46  (step t1046.t2.t38 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t1046.t2.t33 t1046.t2.t18 t1046.t2.a9 t1046.t2.t34 t1046.t2.t10 t1046.t2.t35 t1046.t2.t6 t1046.t2.t37))
% 11.25/11.46  (step t1046.t2.t39 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t1046.t2.t1 t1046.t2.t38))
% 11.25/11.46  (step t1046.t2.t40 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t1046.t2.a15))
% 11.25/11.46  (step t1046.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t1046.t2.t27 t1046.t2.a7))
% 11.25/11.46  (step t1046.t2.t42 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t1046.t2.a8))
% 11.25/11.46  (step t1046.t2.t43 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.46  (step t1046.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t1046.t2.t3 t1046.t2.t43))
% 11.25/11.46  (step t1046.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t1046.t2.a7))
% 11.25/11.46  (step t1046.t2.t46 (cl (= tptp.sk_c1 tptp.sk_c9)) :rule trans :premises (t1046.t2.a18 t1046.t2.t2 t1046.t2.t4 t1046.t2.t30 t1046.t2.t32 t1046.t2.t39 t1046.t2.t40 t1046.t2.t41 t1046.t2.t42 t1046.t2.t44 t1046.t2.t45))
% 11.25/11.46  (step t1046.t2.t47 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c9))) :rule cong :premises (t1046.t2.t46))
% 11.25/11.46  (step t1046.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t1046.t2.t44))
% 11.25/11.46  (step t1046.t2.t49 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t1046.t2.t41))
% 11.25/11.46  (step t1046.t2.t50 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t1046.t2.t39))
% 11.25/11.46  (step t1046.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule symm :premises (t1046.t2.t30))
% 11.25/11.46  (step t1046.t2.t52 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1))) :rule cong :premises (t1046.t2.a9 t1046.t2.t29))
% 11.25/11.46  (step t1046.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t1046.t2.a19))
% 11.25/11.46  (step t1046.t2.t54 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t1046.t2.t53))
% 11.25/11.46  (step t1046.t2.t55 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1046.t2.a5))
% 11.25/11.46  (step t1046.t2.t56 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t1046.t2.t55))
% 11.25/11.46  (step t1046.t2.t57 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9)) :rule symm :premises (t1046.t2.a6))
% 11.25/11.46  (step t1046.t2.t58 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule symm :premises (t1046.t2.t57))
% 11.25/11.46  (step t1046.t2.t59 (cl (= tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t1046.t2.a18 t1046.t2.t2 t1046.t2.t4 t1046.t2.t30 t1046.t2.t32 t1046.t2.t39 t1046.t2.t40 t1046.t2.t41 t1046.t2.t42 t1046.t2.t44 t1046.t2.t45 t1046.t2.t58))
% 11.25/11.46  (step t1046.t2.t60 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t1046.t2.t56 t1046.t2.t59))
% 11.25/11.46  (step t1046.t2.t61 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1046.t2.a4))
% 11.25/11.46  (step t1046.t2.t62 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t1046.t2.a3))
% 11.25/11.46  (step t1046.t2.t63 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1046.t2.t62 t1046.t2.a1))
% 11.25/11.46  (step t1046.t2.t64 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t1046.t2.t19))
% 11.25/11.46  (step t1046.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t1046.t2.t16))
% 11.25/11.46  (step t1046.t2.t66 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t1046.t2.t60 t1046.t2.t61 t1046.t2.t63 t1046.t2.t64 t1046.t2.a11 t1046.t2.t65))
% 11.25/11.46  (step t1046.t2.t67 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t1046.t2.t12 t1046.t2.t66))
% 11.25/11.46  (step t1046.t2.t68 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t1046.t2.a7 t1046.t2.t48 t1046.t2.a8 t1046.t2.t49 t1046.t2.a15 t1046.t2.t50 t1046.t2.t31 t1046.t2.t51 t1046.t2.t52 t1046.t2.t54 t1046.t2.t67 t1046.t2.t25 t1046.t2.t26))
% 11.25/11.46  (step t1046.t2.t69 (cl (= (tptp.inverse tptp.sk_c9) (tptp.inverse tptp.identity))) :rule cong :premises (t1046.t2.t68))
% 11.25/11.46  (step t1046.t2.t70 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t1046.t2.t33))
% 11.25/11.46  (step t1046.t2.t71 (cl (= tptp.identity (tptp.inverse tptp.sk_c1))) :rule trans :premises (t1046.t2.a10 t1046.t2.t70 t1046.t2.t60 t1046.t2.t61 t1046.t2.t63 t1046.t2.t21 t1046.t2.t23 t1046.t2.t20 t1046.t2.t14))
% 11.25/11.46  (step t1046.t2.t72 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t1046.t2.t71))
% 11.25/11.46  (step t1046.t2.t73 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t1046.t2.t47 t1046.t2.t69 t1046.t2.t72))
% 11.25/11.46  (step t1046.t2 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t1046.t2.a0 t1046.t2.a1 t1046.t2.a2 t1046.t2.a3 t1046.t2.a4 t1046.t2.a5 t1046.t2.a6 t1046.t2.a7 t1046.t2.a8 t1046.t2.a9 t1046.t2.a10 t1046.t2.a11 t1046.t2.a12 t1046.t2.a13 t1046.t2.a14 t1046.t2.a15 t1046.t2.a16 t1046.t2.a17 t1046.t2.a18 t1046.t2.a19))
% 11.25/11.46  (step t1046.t3 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1046.t4 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1046.t5 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.46  (step t1046.t6 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t1046.t7 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1046.t8 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t1046.t9 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1046.t10 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t1046.t11 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1046.t12 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1046.t13 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1046.t14 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1046.t15 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1046.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.46  (step t1046.t17 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t1046.t18 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1046.t19 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t1046.t20 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t1046.t21 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1046.t22 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t1046.t23 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))))) :rule resolution :premises (t1046.t2 t1046.t3 t1046.t4 t1046.t5 t1046.t6 t1046.t7 t1046.t8 t1046.t9 t1046.t10 t1046.t11 t1046.t12 t1046.t13 t1046.t14 t1046.t15 t1046.t16 t1046.t17 t1046.t18 t1046.t19 t1046.t20 t1046.t21 t1046.t22))
% 11.25/11.46  (step t1046.t24 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1046.t23))
% 11.25/11.46  (step t1046.t25 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1046.t24))
% 11.25/11.46  (step t1046.t26 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1046.t1 t1046.t25))
% 11.25/11.46  (step t1046.t27 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.46  (step t1046.t28 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t1046.t26 t1046.t27))
% 11.25/11.46  (step t1046.t29 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t1046.t28))
% 11.25/11.46  (step t1046.t30 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t1046.t29))
% 11.25/11.46  (step t1046.t31 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule and_neg)
% 11.25/11.46  (step t1046.t32 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))) :rule resolution :premises (t1046.t31 t1046.a1 t1046.a9 t1046.a5 t1046.a17 t1046.a19 t1046.a4 t1046.a3 t1046.a15 t1046.a14 t1046.a10 t1046.a8 t1046.a11 t1046.a0 t1046.a12 t1046.a6 t1046.a16 t1046.a2 t1046.a13 t1046.a7 t1046.a18))
% 11.25/11.46  (step t1046.t33 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1046.t30 t1046.t32))
% 11.25/11.46  (step t1046 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t1046.a0 t1046.a1 t1046.a2 t1046.a3 t1046.a4 t1046.a5 t1046.a6 t1046.a7 t1046.a8 t1046.a9 t1046.a10 t1046.a11 t1046.a12 t1046.a13 t1046.a14 t1046.a15 t1046.a16 t1046.a17 t1046.a18 t1046.a19))
% 11.25/11.46  (step t1047 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1048 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1049 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t1050 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1051 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t1052 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.46  (step t1053 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t1054 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1055 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1056 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1057 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1058 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1059 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.46  (step t1060 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t1061 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1062 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t1063 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1064 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t1065 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t1066 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1067 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))))) :rule resolution :premises (t1046 t1047 t1048 t1049 t1050 t1051 t1052 t1053 t1054 t1055 t1056 t1057 t1058 t1059 t1060 t1061 t1062 t1063 t1064 t1065 t1066))
% 11.25/11.46  (step t1068 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1067))
% 11.25/11.46  (step t1069 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1068))
% 11.25/11.46  (step t1070 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1045 t1069))
% 11.25/11.46  (step t1071 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.46  (step t1072 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t1070 t1071))
% 11.25/11.46  (step t1073 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t1072))
% 11.25/11.46  (step t1074 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t1073))
% 11.25/11.46  (step t1075 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t988 t1074))
% 11.25/11.46  (step t1076 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.inverse tptp.sk_c1) (tptp.inverse (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1075))
% 11.25/11.46  (step t1077 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule and_neg)
% 11.25/11.46  (step t1078 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t1079)
% 11.25/11.46  (assume t1079.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.46  (assume t1079.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.46  (assume t1079.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.46  (assume t1079.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.46  (assume t1079.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.46  (assume t1079.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.46  (assume t1079.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.46  (assume t1079.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.46  (assume t1079.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.46  (assume t1079.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.46  (assume t1079.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.46  (assume t1079.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.46  (assume t1079.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.46  (assume t1079.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t1079.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.46  (assume t1079.a15 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.46  (assume t1079.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.46  (assume t1079.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.46  (assume t1079.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.46  (step t1079.t1 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t1079.t2)
% 11.25/11.46  (assume t1079.t2.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.46  (assume t1079.t2.a1 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.46  (assume t1079.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.46  (assume t1079.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.46  (assume t1079.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.46  (assume t1079.t2.a5 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.46  (assume t1079.t2.a6 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.46  (assume t1079.t2.a7 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.46  (assume t1079.t2.a8 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.46  (assume t1079.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.46  (assume t1079.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.46  (assume t1079.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.46  (assume t1079.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.46  (assume t1079.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.46  (assume t1079.t2.a14 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.46  (assume t1079.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.46  (assume t1079.t2.a16 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.46  (assume t1079.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.46  (assume t1079.t2.a18 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.46  (step t1079.t2.t1 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.46  (step t1079.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t1079.t2.a2 t1079.t2.t1))
% 11.25/11.46  (step t1079.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1079.t2.a2))
% 11.25/11.46  (step t1079.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1079.t2.t3 t1079.t2.a1))
% 11.25/11.46  (step t1079.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t1079.t2.a3))
% 11.25/11.46  (step t1079.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1079.t2.t5 t1079.t2.a1))
% 11.25/11.46  (step t1079.t2.t7 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1079.t2.t6))
% 11.25/11.46  (step t1079.t2.t8 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1079.t2.a5))
% 11.25/11.46  (step t1079.t2.t9 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t1079.t2.t8))
% 11.25/11.46  (step t1079.t2.t10 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.46  (step t1079.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t1079.t2.a2 t1079.t2.t10))
% 11.25/11.46  (step t1079.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t1079.t2.t3 t1079.t2.a18))
% 11.25/11.46  (step t1079.t2.t13 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1079.t2.a12))
% 11.25/11.46  (step t1079.t2.t14 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1079.t2.t13))
% 11.25/11.46  (step t1079.t2.t15 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1079.t2.t14))
% 11.25/11.46  (step t1079.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1079.t2.a14))
% 11.25/11.46  (step t1079.t2.t17 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1079.t2.t16))
% 11.25/11.46  (step t1079.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1079.t2.a9))
% 11.25/11.46  (step t1079.t2.t19 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.46  (step t1079.t2.t20 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t1079.t2.t18 t1079.t2.t19))
% 11.25/11.46  (step t1079.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1079.t2.t20))
% 11.25/11.46  (step t1079.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1079.t2.a13))
% 11.25/11.46  (step t1079.t2.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t1079.t2.t22))
% 11.25/11.46  (step t1079.t2.t24 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.46  (step t1079.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1079.t2.a10))
% 11.25/11.46  (step t1079.t2.t26 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t1079.t2.t25))
% 11.25/11.46  (step t1079.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1079.t2.a1))
% 11.25/11.46  (step t1079.t2.t28 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule cong :premises (t1079.t2.t26 t1079.t2.t27))
% 11.25/11.46  (step t1079.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t1079.t2.a11))
% 11.25/11.46  (step t1079.t2.t30 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule symm :premises (t1079.t2.t29))
% 11.25/11.46  (step t1079.t2.t31 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t1079.t2.a0))
% 11.25/11.46  (step t1079.t2.t32 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1079.t2.t31))
% 11.25/11.46  (step t1079.t2.t33 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t1079.t2.t32))
% 11.25/11.46  (step t1079.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t1079.t2.t33 t1079.t2.t15))
% 11.25/11.46  (step t1079.t2.t35 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t1079.t2.a1 t1079.t2.t2 t1079.t2.t4 t1079.t2.t28 t1079.t2.t30 t1079.t2.t34))
% 11.25/11.46  (step t1079.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t1079.t2.t24 t1079.t2.t35))
% 11.25/11.46  (step t1079.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1079.t2.t36))
% 11.25/11.46  (step t1079.t2.t38 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t1079.t2.t15 t1079.t2.t17 t1079.t2.t21 t1079.t2.t23 t1079.t2.t37 t1079.t2.t18))
% 11.25/11.46  (step t1079.t2.t39 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1079.t2.t38))
% 11.25/11.46  (step t1079.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t1079.t2.a18))
% 11.25/11.46  (step t1079.t2.t41 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule cong :premises (t1079.t2.t39 t1079.t2.t40))
% 11.25/11.46  (step t1079.t2.t42 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t1079.t2.a17))
% 11.25/11.46  (step t1079.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t1079.t2.t42))
% 11.25/11.46  (step t1079.t2.t44 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t1079.t2.t32 t1079.t2.t10))
% 11.25/11.46  (step t1079.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1079.t2.t23))
% 11.25/11.46  (step t1079.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1079.t2.t17))
% 11.25/11.46  (step t1079.t2.t47 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t1079.t2.a16))
% 11.25/11.46  (step t1079.t2.t48 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t1079.t2.t47))
% 11.25/11.46  (step t1079.t2.t49 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t1079.t2.t44 t1079.t2.t25 t1079.t2.a9 t1079.t2.t36 t1079.t2.t45 t1079.t2.t20 t1079.t2.t46 t1079.t2.t48))
% 11.25/11.46  (step t1079.t2.t50 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t1079.t2.t10 t1079.t2.t49))
% 11.25/11.46  (step t1079.t2.t51 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t1079.t2.a15))
% 11.25/11.46  (step t1079.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t1079.t2.t38 t1079.t2.a7))
% 11.25/11.46  (step t1079.t2.t53 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t1079.t2.a8))
% 11.25/11.46  (step t1079.t2.t54 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.46  (step t1079.t2.t55 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t1079.t2.t3 t1079.t2.t54))
% 11.25/11.46  (step t1079.t2.t56 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t1079.t2.a7))
% 11.25/11.46  (step t1079.t2.t57 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9)) :rule symm :premises (t1079.t2.a6))
% 11.25/11.46  (step t1079.t2.t58 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule symm :premises (t1079.t2.t57))
% 11.25/11.46  (step t1079.t2.t59 (cl (= tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t1079.t2.a18 t1079.t2.t11 t1079.t2.t12 t1079.t2.t41 t1079.t2.t43 t1079.t2.t50 t1079.t2.t51 t1079.t2.t52 t1079.t2.t53 t1079.t2.t55 t1079.t2.t56 t1079.t2.t58))
% 11.25/11.46  (step t1079.t2.t60 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t1079.t2.t9 t1079.t2.t59))
% 11.25/11.46  (step t1079.t2.t61 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t1079.t2.t60))
% 11.25/11.46  (step t1079.t2.t62 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t1079.t2.t44))
% 11.25/11.46  (step t1079.t2.t63 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1079.t2.a4))
% 11.25/11.46  (step t1079.t2.t64 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule symm :premises (t1079.t2.t4))
% 11.25/11.46  (step t1079.t2.t65 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule symm :premises (t1079.t2.t2))
% 11.25/11.46  (step t1079.t2.t66 (cl (= tptp.identity (tptp.inverse tptp.sk_c1))) :rule trans :premises (t1079.t2.t26 t1079.t2.t62 t1079.t2.t60 t1079.t2.t63 t1079.t2.t6 t1079.t2.t64 t1079.t2.t65 t1079.t2.t27 t1079.t2.t32))
% 11.25/11.46  (step t1079.t2.t67 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t1079.t2.a9 t1079.t2.t36 t1079.t2.t45 t1079.t2.t20 t1079.t2.t46))
% 11.25/11.46  (step t1079.t2.t68 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t1079.t2.t66 t1079.t2.t67))
% 11.25/11.46  (step t1079.t2.t69 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule trans :premises (t1079.t2.a1 t1079.t2.t2 t1079.t2.t4 t1079.t2.t7 t1079.t2.a4 t1079.t2.t61 t1079.t2.t44 t1079.t2.t25 t1079.t2.a2 t1079.t2.t68))
% 11.25/11.46  (step t1079.t2 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule subproof :discharge (t1079.t2.a0 t1079.t2.a1 t1079.t2.a2 t1079.t2.a3 t1079.t2.a4 t1079.t2.a5 t1079.t2.a6 t1079.t2.a7 t1079.t2.a8 t1079.t2.a9 t1079.t2.a10 t1079.t2.a11 t1079.t2.a12 t1079.t2.a13 t1079.t2.a14 t1079.t2.a15 t1079.t2.a16 t1079.t2.a17 t1079.t2.a18))
% 11.25/11.46  (step t1079.t3 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1079.t4 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1079.t5 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.46  (step t1079.t6 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t1079.t7 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1079.t8 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t1079.t9 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1079.t10 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t1079.t11 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1079.t12 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1079.t13 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1079.t14 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1079.t15 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1079.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.46  (step t1079.t17 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t1079.t18 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1079.t19 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t1079.t20 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t1079.t21 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1079.t22 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))))) :rule resolution :premises (t1079.t2 t1079.t3 t1079.t4 t1079.t5 t1079.t6 t1079.t7 t1079.t8 t1079.t9 t1079.t10 t1079.t11 t1079.t12 t1079.t13 t1079.t14 t1079.t15 t1079.t16 t1079.t17 t1079.t18 t1079.t19 t1079.t20 t1079.t21))
% 11.25/11.46  (step t1079.t23 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule reordering :premises (t1079.t22))
% 11.25/11.46  (step t1079.t24 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule contraction :premises (t1079.t23))
% 11.25/11.46  (step t1079.t25 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1079.t1 t1079.t24))
% 11.25/11.46  (step t1079.t26 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.46  (step t1079.t27 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule resolution :premises (t1079.t25 t1079.t26))
% 11.25/11.46  (step t1079.t28 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule contraction :premises (t1079.t27))
% 11.25/11.46  (step t1079.t29 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule implies :premises (t1079.t28))
% 11.25/11.46  (step t1079.t30 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule and_neg)
% 11.25/11.46  (step t1079.t31 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t1079.t30 t1079.a1 t1079.a9 t1079.a5 t1079.a17 t1079.a18 t1079.a4 t1079.a3 t1079.a15 t1079.a14 t1079.a10 t1079.a8 t1079.a11 t1079.a0 t1079.a12 t1079.a6 t1079.a16 t1079.a2 t1079.a13 t1079.a7))
% 11.25/11.46  (step t1079.t32 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1079.t29 t1079.t31))
% 11.25/11.46  (step t1079 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule subproof :discharge (t1079.a0 t1079.a1 t1079.a2 t1079.a3 t1079.a4 t1079.a5 t1079.a6 t1079.a7 t1079.a8 t1079.a9 t1079.a10 t1079.a11 t1079.a12 t1079.a13 t1079.a14 t1079.a15 t1079.a16 t1079.a17 t1079.a18))
% 11.25/11.46  (step t1080 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1081 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1082 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t1083 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1084 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t1085 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.46  (step t1086 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.46  (step t1087 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1088 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.46  (step t1089 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1090 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.46  (step t1091 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1092 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.46  (step t1093 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.46  (step t1094 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1095 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.46  (step t1096 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.46  (step t1097 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.46  (step t1098 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.46  (step t1099 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))))) :rule resolution :premises (t1079 t1080 t1081 t1082 t1083 t1084 t1085 t1086 t1087 t1088 t1089 t1090 t1091 t1092 t1093 t1094 t1095 t1096 t1097 t1098))
% 11.25/11.46  (step t1100 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule reordering :premises (t1099))
% 11.25/11.46  (step t1101 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule contraction :premises (t1100))
% 11.25/11.46  (step t1102 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1078 t1101))
% 11.25/11.46  (step t1103 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.46  (step t1104 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule resolution :premises (t1102 t1103))
% 11.25/11.46  (step t1105 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule contraction :premises (t1104))
% 11.25/11.46  (step t1106 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule implies :premises (t1105))
% 11.25/11.46  (step t1107 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1077 t1106))
% 11.25/11.46  (step t1108 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule reordering :premises (t1107))
% 11.25/11.46  (step t1109 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule implies_neg1)
% 11.25/11.46  (anchor :step t1110)
% 11.25/11.46  (assume t1110.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.46  (assume t1110.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.46  (assume t1110.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.46  (assume t1110.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.46  (assume t1110.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.46  (assume t1110.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.46  (assume t1110.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.46  (assume t1110.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.46  (assume t1110.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.46  (assume t1110.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.46  (assume t1110.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.46  (assume t1110.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.47  (assume t1110.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.47  (assume t1110.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.47  (assume t1110.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.47  (assume t1110.a15 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.47  (assume t1110.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.47  (assume t1110.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.47  (assume t1110.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.47  (assume t1110.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.47  (step t1110.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1110.t2)
% 11.25/11.47  (assume t1110.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.47  (assume t1110.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1110.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.47  (assume t1110.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.47  (assume t1110.t2.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.47  (assume t1110.t2.a5 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1110.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.47  (assume t1110.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.47  (assume t1110.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.47  (assume t1110.t2.a9 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.47  (assume t1110.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.47  (assume t1110.t2.a11 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.47  (assume t1110.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.47  (assume t1110.t2.a13 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.47  (assume t1110.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.47  (assume t1110.t2.a15 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.47  (assume t1110.t2.a16 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.47  (assume t1110.t2.a17 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.47  (assume t1110.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.47  (assume t1110.t2.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.47  (step t1110.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1110.t2.a1))
% 11.25/11.47  (step t1110.t2.t2 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.47  (step t1110.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t1110.t2.t1 t1110.t2.t2))
% 11.25/11.47  (step t1110.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule symm :premises (t1110.t2.t3))
% 11.25/11.47  (step t1110.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1110.t2.a5))
% 11.25/11.47  (step t1110.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t1110.t2.a1 t1110.t2.t5))
% 11.25/11.47  (step t1110.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule symm :premises (t1110.t2.t6))
% 11.25/11.47  (step t1110.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t1110.t2.a19))
% 11.25/11.47  (step t1110.t2.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1110.t2.t8 t1110.t2.a5))
% 11.25/11.47  (step t1110.t2.t10 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1110.t2.t9))
% 11.25/11.47  (step t1110.t2.t11 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1110.t2.a4))
% 11.25/11.47  (step t1110.t2.t12 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t1110.t2.t11))
% 11.25/11.47  (step t1110.t2.t13 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.47  (step t1110.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t1110.t2.a1 t1110.t2.t13))
% 11.25/11.47  (step t1110.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t1110.t2.t1 t1110.t2.a0))
% 11.25/11.47  (step t1110.t2.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1110.t2.a9))
% 11.25/11.47  (step t1110.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1110.t2.a11))
% 11.25/11.47  (step t1110.t2.t18 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1110.t2.t17))
% 11.25/11.47  (step t1110.t2.t19 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.47  (step t1110.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t1110.t2.a2 t1110.t2.t19))
% 11.25/11.47  (step t1110.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1110.t2.a10))
% 11.25/11.47  (step t1110.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t1110.t2.t21))
% 11.25/11.47  (step t1110.t2.t23 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.47  (step t1110.t2.t24 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t1110.t2.a8))
% 11.25/11.47  (step t1110.t2.t25 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1110.t2.t24))
% 11.25/11.47  (step t1110.t2.t26 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1110.t2.t16))
% 11.25/11.47  (step t1110.t2.t27 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule cong :premises (t1110.t2.t25 t1110.t2.t26))
% 11.25/11.47  (step t1110.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t1110.t2.a7))
% 11.25/11.47  (step t1110.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1110.t2.a6))
% 11.25/11.47  (step t1110.t2.t30 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1110.t2.t29 t1110.t2.a5))
% 11.25/11.47  (step t1110.t2.t31 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11)) :rule trans :premises (t1110.t2.t27 t1110.t2.t28 t1110.t2.t30 t1110.t2.t6 t1110.t2.t3 t1110.t2.t5))
% 11.25/11.47  (step t1110.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1110.t2.t23 t1110.t2.t31))
% 11.25/11.47  (step t1110.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1110.t2.a2))
% 11.25/11.47  (step t1110.t2.t34 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t1110.t2.t16 t1110.t2.t18 t1110.t2.t20 t1110.t2.t22 t1110.t2.t32 t1110.t2.t33))
% 11.25/11.47  (step t1110.t2.t35 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1110.t2.t34))
% 11.25/11.47  (step t1110.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t1110.t2.a0))
% 11.25/11.47  (step t1110.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule cong :premises (t1110.t2.t35 t1110.t2.t36))
% 11.25/11.47  (step t1110.t2.t38 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t1110.t2.a12))
% 11.25/11.47  (step t1110.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t1110.t2.t38))
% 11.25/11.47  (step t1110.t2.t40 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t1110.t2.t25 t1110.t2.t13))
% 11.25/11.47  (step t1110.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t1110.t2.t32))
% 11.25/11.47  (step t1110.t2.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1110.t2.t20))
% 11.25/11.47  (step t1110.t2.t43 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t1110.t2.a13))
% 11.25/11.47  (step t1110.t2.t44 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t1110.t2.t43))
% 11.25/11.47  (step t1110.t2.t45 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t1110.t2.t40 t1110.t2.t29 t1110.t2.a2 t1110.t2.t41 t1110.t2.t21 t1110.t2.t42 t1110.t2.t17 t1110.t2.t44))
% 11.25/11.47  (step t1110.t2.t46 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t1110.t2.t13 t1110.t2.t45))
% 11.25/11.47  (step t1110.t2.t47 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t1110.t2.a14))
% 11.25/11.47  (step t1110.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t1110.t2.t34 t1110.t2.a15))
% 11.25/11.47  (step t1110.t2.t49 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t1110.t2.a16))
% 11.25/11.47  (step t1110.t2.t50 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.47  (step t1110.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t1110.t2.t1 t1110.t2.t50))
% 11.25/11.47  (step t1110.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t1110.t2.a15))
% 11.25/11.47  (step t1110.t2.t53 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9)) :rule symm :premises (t1110.t2.a17))
% 11.25/11.47  (step t1110.t2.t54 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule symm :premises (t1110.t2.t53))
% 11.25/11.47  (step t1110.t2.t55 (cl (= tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t1110.t2.a0 t1110.t2.t14 t1110.t2.t15 t1110.t2.t37 t1110.t2.t39 t1110.t2.t46 t1110.t2.t47 t1110.t2.t48 t1110.t2.t49 t1110.t2.t51 t1110.t2.t52 t1110.t2.t54))
% 11.25/11.47  (step t1110.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t1110.t2.t12 t1110.t2.t55))
% 11.25/11.47  (step t1110.t2.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t1110.t2.t56))
% 11.25/11.47  (step t1110.t2.t58 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule trans :premises (t1110.t2.t27 t1110.t2.t28 t1110.t2.t30 t1110.t2.t10 t1110.t2.a18 t1110.t2.t57))
% 11.25/11.47  (step t1110.t2.t59 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule cong :premises (t1110.t2.t23 t1110.t2.t58))
% 11.25/11.47  (step t1110.t2.t60 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t1110.t2.a3))
% 11.25/11.47  (step t1110.t2.t61 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t1110.t2.t33 t1110.t2.a0))
% 11.25/11.47  (step t1110.t2.t62 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule symm :premises (t1110.t2.t15))
% 11.25/11.47  (step t1110.t2.t63 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule symm :premises (t1110.t2.t14))
% 11.25/11.47  (step t1110.t2.t64 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t1110.t2.a2 t1110.t2.t41 t1110.t2.t59 t1110.t2.t60 t1110.t2.t61 t1110.t2.t62 t1110.t2.t63 t1110.t2.t36))
% 11.25/11.47  (step t1110.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t1110.t2.t40))
% 11.25/11.47  (step t1110.t2.t66 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1110.t2.a18))
% 11.25/11.47  (step t1110.t2.t67 (cl (= tptp.identity (tptp.inverse tptp.sk_c1))) :rule trans :premises (t1110.t2.a6 t1110.t2.t65 t1110.t2.t56 t1110.t2.t66 t1110.t2.t9 t1110.t2.t6 t1110.t2.t3 t1110.t2.t5 t1110.t2.t25))
% 11.25/11.47  (step t1110.t2.t68 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t1110.t2.t64 t1110.t2.t67))
% 11.25/11.47  (step t1110.t2.t69 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t1110.t2.a5 t1110.t2.t4 t1110.t2.t7 t1110.t2.t10 t1110.t2.a18 t1110.t2.t57 t1110.t2.t40 t1110.t2.t29 t1110.t2.a1 t1110.t2.t68))
% 11.25/11.47  (step t1110.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t1110.t2.a0 t1110.t2.a1 t1110.t2.a2 t1110.t2.a3 t1110.t2.a4 t1110.t2.a5 t1110.t2.a6 t1110.t2.a7 t1110.t2.a8 t1110.t2.a9 t1110.t2.a10 t1110.t2.a11 t1110.t2.a12 t1110.t2.a13 t1110.t2.a14 t1110.t2.a15 t1110.t2.a16 t1110.t2.a17 t1110.t2.a18 t1110.t2.a19))
% 11.25/11.47  (step t1110.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1110.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1110.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1110.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.47  (step t1110.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.47  (step t1110.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1110.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1110.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1110.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1110.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1110.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1110.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1110.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.47  (step t1110.t16 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1110.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1110.t18 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1110.t19 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1110.t20 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1110.t21 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1110.t22 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.47  (step t1110.t23 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t1110.t2 t1110.t3 t1110.t4 t1110.t5 t1110.t6 t1110.t7 t1110.t8 t1110.t9 t1110.t10 t1110.t11 t1110.t12 t1110.t13 t1110.t14 t1110.t15 t1110.t16 t1110.t17 t1110.t18 t1110.t19 t1110.t20 t1110.t21 t1110.t22))
% 11.25/11.47  (step t1110.t24 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1110.t23))
% 11.25/11.47  (step t1110.t25 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1110.t24))
% 11.25/11.47  (step t1110.t26 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1110.t1 t1110.t25))
% 11.25/11.47  (step t1110.t27 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.47  (step t1110.t28 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t1110.t26 t1110.t27))
% 11.25/11.47  (step t1110.t29 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t1110.t28))
% 11.25/11.47  (step t1110.t30 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t1110.t29))
% 11.25/11.47  (step t1110.t31 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 11.25/11.47  (step t1110.t32 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t1110.t31 t1110.a7 t1110.a5 t1110.a10 t1110.a18 t1110.a4 t1110.a9 t1110.a8 t1110.a11 t1110.a1 t1110.a0 t1110.a12 t1110.a6 t1110.a13 t1110.a2 t1110.a16 t1110.a15 t1110.a14 t1110.a3 t1110.a19 t1110.a17))
% 11.25/11.47  (step t1110.t33 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1110.t30 t1110.t32))
% 11.25/11.47  (step t1110 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t1110.a0 t1110.a1 t1110.a2 t1110.a3 t1110.a4 t1110.a5 t1110.a6 t1110.a7 t1110.a8 t1110.a9 t1110.a10 t1110.a11 t1110.a12 t1110.a13 t1110.a14 t1110.a15 t1110.a16 t1110.a17 t1110.a18 t1110.a19))
% 11.25/11.47  (step t1111 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1112 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1113 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1114 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1115 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.47  (step t1116 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1117 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1118 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1119 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1120 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1121 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1122 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1123 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1124 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.47  (step t1125 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1126 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1127 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1128 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.47  (step t1129 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.47  (step t1130 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1131 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))))) :rule resolution :premises (t1110 t1111 t1112 t1113 t1114 t1115 t1116 t1117 t1118 t1119 t1120 t1121 t1122 t1123 t1124 t1125 t1126 t1127 t1128 t1129 t1130))
% 11.25/11.47  (step t1132 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1131))
% 11.25/11.47  (step t1133 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1132))
% 11.25/11.47  (step t1134 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1109 t1133))
% 11.25/11.47  (step t1135 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.25/11.47  (step t1136 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t1134 t1135))
% 11.25/11.47  (step t1137 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t1136))
% 11.25/11.47  (step t1138 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t1137))
% 11.25/11.47  (step t1139 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t988 t1138))
% 11.25/11.47  (step t1140 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1139))
% 11.25/11.47  (step t1141 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t394))
% 11.25/11.47  (step t1142 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1143)
% 11.25/11.47  (assume t1143.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))
% 11.25/11.47  (step t1143.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))))) :rule forall_inst :args ((:= X2 tptp.sk_c9)))
% 11.25/11.47  (step t1143.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) :rule or :premises (t1143.t1))
% 11.25/11.47  (step t1143.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) :rule resolution :premises (t1143.t2 t1143.a0))
% 11.25/11.47  (step t1143 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) :rule subproof :discharge (t1143.a0))
% 11.25/11.47  (step t1144 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) :rule resolution :premises (t1142 t1143))
% 11.25/11.47  (step t1145 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))))) :rule implies_neg2)
% 11.25/11.47  (step t1146 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))))) :rule resolution :premises (t1144 t1145))
% 11.25/11.47  (step t1147 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))))) :rule contraction :premises (t1146))
% 11.25/11.47  (step t1148 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) :rule implies :premises (t1147))
% 11.25/11.47  (step t1149 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))) :rule or_pos)
% 11.25/11.47  (step t1150 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))))) :rule reordering :premises (t1149))
% 11.25/11.47  (step t1151 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1152)
% 11.25/11.47  (assume t1152.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.47  (assume t1152.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.47  (assume t1152.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.47  (assume t1152.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.47  (assume t1152.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.47  (assume t1152.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1152.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.47  (assume t1152.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.47  (assume t1152.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.47  (assume t1152.a9 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1152.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.47  (assume t1152.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.47  (assume t1152.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.47  (assume t1152.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.47  (assume t1152.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.47  (assume t1152.a15 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.47  (assume t1152.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.47  (assume t1152.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.47  (assume t1152.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.47  (step t1152.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1152.t2)
% 11.25/11.47  (assume t1152.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.47  (assume t1152.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1152.t2.a2 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.47  (assume t1152.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.47  (assume t1152.t2.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1152.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.47  (assume t1152.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.47  (assume t1152.t2.a7 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.47  (assume t1152.t2.a8 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.47  (assume t1152.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.47  (assume t1152.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.47  (assume t1152.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.47  (assume t1152.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.47  (assume t1152.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.47  (assume t1152.t2.a14 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.47  (assume t1152.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.25/11.47  (assume t1152.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))
% 11.25/11.47  (assume t1152.t2.a17 (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))
% 11.25/11.47  (assume t1152.t2.a18 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))
% 11.25/11.47  (step t1152.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1152.t2.a10))
% 11.25/11.47  (step t1152.t2.t2 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1152.t2.t1))
% 11.25/11.47  (step t1152.t2.t3 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.47  (step t1152.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t1152.t2.a3 t1152.t2.t3))
% 11.25/11.47  (step t1152.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1152.t2.a9))
% 11.25/11.47  (step t1152.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t1152.t2.t5))
% 11.25/11.47  (step t1152.t2.t7 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.47  (step t1152.t2.t8 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t1152.t2.a7))
% 11.25/11.47  (step t1152.t2.t9 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1152.t2.t8))
% 11.25/11.47  (step t1152.t2.t10 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1152.t2.a8))
% 11.25/11.47  (step t1152.t2.t11 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1152.t2.t10))
% 11.25/11.47  (step t1152.t2.t12 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule cong :premises (t1152.t2.t9 t1152.t2.t11))
% 11.25/11.47  (step t1152.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t1152.t2.a6))
% 11.25/11.47  (step t1152.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1152.t2.a5))
% 11.25/11.47  (step t1152.t2.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1152.t2.t14 t1152.t2.a4))
% 11.25/11.47  (step t1152.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1152.t2.a4))
% 11.25/11.47  (step t1152.t2.t17 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t1152.t2.a1 t1152.t2.t16))
% 11.25/11.47  (step t1152.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1152.t2.a1))
% 11.25/11.47  (step t1152.t2.t19 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.47  (step t1152.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t1152.t2.t18 t1152.t2.t19))
% 11.25/11.47  (step t1152.t2.t21 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11)) :rule trans :premises (t1152.t2.t12 t1152.t2.t13 t1152.t2.t15 t1152.t2.t17 t1152.t2.t20 t1152.t2.t16))
% 11.25/11.47  (step t1152.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1152.t2.t7 t1152.t2.t21))
% 11.25/11.47  (step t1152.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1152.t2.a3))
% 11.25/11.47  (step t1152.t2.t24 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.47  (step t1152.t2.t25 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t1152.t2.t9 t1152.t2.t24))
% 11.25/11.47  (step t1152.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c1))) :rule symm :premises (t1152.t2.t25))
% 11.25/11.47  (step t1152.t2.t27 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c11)) :rule symm :premises (t1152.t2.a17))
% 11.25/11.47  (step t1152.t2.t28 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t1152.t2.t27))
% 11.25/11.47  (step t1152.t2.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t1152.t2.a1 t1152.t2.t24))
% 11.25/11.47  (step t1152.t2.t30 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t1152.t2.t18 t1152.t2.a14))
% 11.25/11.47  (step t1152.t2.t31 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t1152.t2.t10 t1152.t2.t2 t1152.t2.t4 t1152.t2.t6 t1152.t2.t22 t1152.t2.t23))
% 11.25/11.47  (step t1152.t2.t32 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1152.t2.t31))
% 11.25/11.47  (step t1152.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t1152.t2.a14))
% 11.25/11.47  (step t1152.t2.t34 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule cong :premises (t1152.t2.t32 t1152.t2.t33))
% 11.25/11.47  (step t1152.t2.t35 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t1152.t2.a13))
% 11.25/11.47  (step t1152.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t1152.t2.t35))
% 11.25/11.47  (step t1152.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t1152.t2.t22))
% 11.25/11.47  (step t1152.t2.t38 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1152.t2.t4))
% 11.25/11.47  (step t1152.t2.t39 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t1152.t2.a12))
% 11.25/11.47  (step t1152.t2.t40 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t1152.t2.t39))
% 11.25/11.47  (step t1152.t2.t41 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t1152.t2.t25 t1152.t2.t14 t1152.t2.a3 t1152.t2.t37 t1152.t2.t5 t1152.t2.t38 t1152.t2.t1 t1152.t2.t40))
% 11.25/11.47  (step t1152.t2.t42 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t1152.t2.t24 t1152.t2.t41))
% 11.25/11.47  (step t1152.t2.t43 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t1152.t2.a11))
% 11.25/11.47  (step t1152.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t1152.t2.t31 t1152.t2.a0))
% 11.25/11.47  (step t1152.t2.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t1152.t2.a2))
% 11.25/11.47  (step t1152.t2.t46 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.47  (step t1152.t2.t47 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t1152.t2.t18 t1152.t2.t46))
% 11.25/11.47  (step t1152.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t1152.t2.a0))
% 11.25/11.47  (step t1152.t2.t49 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c11) tptp.sk_c9)) :rule symm :premises (t1152.t2.a18))
% 11.25/11.47  (step t1152.t2.t50 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule symm :premises (t1152.t2.t49))
% 11.25/11.47  (step t1152.t2.t51 (cl (= tptp.sk_c1 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule trans :premises (t1152.t2.a14 t1152.t2.t29 t1152.t2.t30 t1152.t2.t34 t1152.t2.t36 t1152.t2.t42 t1152.t2.t43 t1152.t2.t44 t1152.t2.t45 t1152.t2.t47 t1152.t2.t48 t1152.t2.t50))
% 11.25/11.47  (step t1152.t2.t52 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule cong :premises (t1152.t2.t28 t1152.t2.t51))
% 11.25/11.47  (step t1152.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11))) :rule symm :premises (t1152.t2.a16))
% 11.25/11.47  (step t1152.t2.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t1152.t2.a15))
% 11.25/11.47  (step t1152.t2.t55 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1152.t2.t54 t1152.t2.a4))
% 11.25/11.47  (step t1152.t2.t56 (cl (= tptp.sk_c1 tptp.sk_c9)) :rule trans :premises (t1152.t2.a14 t1152.t2.t29 t1152.t2.t30 t1152.t2.t34 t1152.t2.t36 t1152.t2.t42 t1152.t2.t43 t1152.t2.t44 t1152.t2.t45 t1152.t2.t47 t1152.t2.t48))
% 11.25/11.47  (step t1152.t2.t57 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c9))) :rule cong :premises (t1152.t2.t56))
% 11.25/11.47  (step t1152.t2.t58 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule trans :premises (t1152.t2.t2 t1152.t2.t4 t1152.t2.t6 t1152.t2.t22 t1152.t2.t23 t1152.t2.a5 t1152.t2.t26 t1152.t2.t52 t1152.t2.t53 t1152.t2.t55 t1152.t2.t17 t1152.t2.t20 t1152.t2.t16 t1152.t2.t9 t1152.t2.t57))
% 11.25/11.47  (step t1152.t2 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule subproof :discharge (t1152.t2.a0 t1152.t2.a1 t1152.t2.a2 t1152.t2.a3 t1152.t2.a4 t1152.t2.a5 t1152.t2.a6 t1152.t2.a7 t1152.t2.a8 t1152.t2.a9 t1152.t2.a10 t1152.t2.a11 t1152.t2.a12 t1152.t2.a13 t1152.t2.a14 t1152.t2.a15 t1152.t2.a16 t1152.t2.a17 t1152.t2.a18))
% 11.25/11.47  (step t1152.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1152.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1152.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1152.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1152.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1152.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1152.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1152.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1152.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1152.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1152.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1152.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1152.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1152.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.47  (step t1152.t17 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1152.t18 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.47  (step t1152.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1152.t20 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.47  (step t1152.t21 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1152.t22 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule resolution :premises (t1152.t2 t1152.t3 t1152.t4 t1152.t5 t1152.t6 t1152.t7 t1152.t8 t1152.t9 t1152.t10 t1152.t11 t1152.t12 t1152.t13 t1152.t14 t1152.t15 t1152.t16 t1152.t17 t1152.t18 t1152.t19 t1152.t20 t1152.t21))
% 11.25/11.47  (step t1152.t23 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule reordering :premises (t1152.t22))
% 11.25/11.47  (step t1152.t24 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule contraction :premises (t1152.t23))
% 11.25/11.47  (step t1152.t25 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t1152.t1 t1152.t24))
% 11.25/11.47  (step t1152.t26 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))) :rule implies_neg2)
% 11.25/11.47  (step t1152.t27 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))) :rule resolution :premises (t1152.t25 t1152.t26))
% 11.25/11.47  (step t1152.t28 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))) :rule contraction :premises (t1152.t27))
% 11.25/11.47  (step t1152.t29 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule implies :premises (t1152.t28))
% 11.25/11.47  (step t1152.t30 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_neg)
% 11.25/11.47  (step t1152.t31 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule resolution :premises (t1152.t30 t1152.a15 t1152.a5 t1152.a14 t1152.a10 t1152.a9 t1152.a8 t1152.a11 t1152.a1 t1152.a0 t1152.a12 t1152.a6 t1152.a16 t1152.a2 t1152.a13 t1152.a7 t1152.a17 t1152.a18 t1152.a4 t1152.a3))
% 11.25/11.47  (step t1152.t32 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t1152.t29 t1152.t31))
% 11.25/11.47  (step t1152 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule subproof :discharge (t1152.a0 t1152.a1 t1152.a2 t1152.a3 t1152.a4 t1152.a5 t1152.a6 t1152.a7 t1152.a8 t1152.a9 t1152.a10 t1152.a11 t1152.a12 t1152.a13 t1152.a14 t1152.a15 t1152.a16 t1152.a17 t1152.a18))
% 11.25/11.47  (step t1153 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1154 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1155 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1156 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1157 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.25/11.47  (step t1158 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1159 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1160 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1161 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1162 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1163 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1164 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1165 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1166 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.47  (step t1167 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1168 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1169 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1170 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.25/11.47  (step t1171 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1172 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))))) :rule resolution :premises (t1152 t1153 t1154 t1155 t1156 t1157 t1158 t1159 t1160 t1161 t1162 t1163 t1164 t1165 t1166 t1167 t1168 t1169 t1170 t1171))
% 11.25/11.47  (step t1173 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule reordering :premises (t1172))
% 11.25/11.47  (step t1174 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule contraction :premises (t1173))
% 11.25/11.47  (step t1175 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t1151 t1174))
% 11.25/11.47  (step t1176 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))) :rule implies_neg2)
% 11.25/11.47  (step t1177 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))) :rule resolution :premises (t1175 t1176))
% 11.25/11.47  (step t1178 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)))) :rule contraction :premises (t1177))
% 11.25/11.47  (step t1179 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule implies :premises (t1178))
% 11.25/11.47  (step t1180 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9))) :rule resolution :premises (t1077 t1179))
% 11.25/11.47  (step t1181 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c9)) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c11))))) :rule reordering :premises (t1180))
% 11.25/11.47  (step t1182 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1183)
% 11.25/11.47  (assume t1183.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))))
% 11.25/11.47  (step t1183.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))))) :rule forall_inst :args ((:= X4 tptp.sk_c2)))
% 11.25/11.47  (step t1183.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) :rule or :premises (t1183.t1))
% 11.25/11.47  (step t1183.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t1183.t2 t1183.a0))
% 11.25/11.47  (step t1183 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t1183.a0))
% 11.25/11.47  (step t1184 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t1182 t1183))
% 11.25/11.47  (step t1185 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 11.25/11.47  (step t1186 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t1184 t1185))
% 11.25/11.47  (step t1187 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t1186))
% 11.25/11.47  (step t1188 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) :rule implies :premises (t1187))
% 11.25/11.47  (step t1189 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))) :rule or_pos)
% 11.25/11.47  (step t1190 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))))) :rule reordering :premises (t1189))
% 11.25/11.47  (step t1191 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule and_neg)
% 11.25/11.47  (step t1192 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1193)
% 11.25/11.47  (assume t1193.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.47  (assume t1193.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.47  (assume t1193.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.47  (assume t1193.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1193.a4 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.47  (assume t1193.a5 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.47  (assume t1193.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.47  (assume t1193.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1193.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.47  (assume t1193.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.47  (assume t1193.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.47  (assume t1193.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.47  (assume t1193.a12 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.47  (assume t1193.a13 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.47  (assume t1193.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.47  (step t1193.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1193.t2)
% 11.25/11.47  (assume t1193.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.47  (assume t1193.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1193.t2.a2 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.47  (assume t1193.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.47  (assume t1193.t2.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1193.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.47  (assume t1193.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.47  (assume t1193.t2.a7 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.47  (assume t1193.t2.a8 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.47  (assume t1193.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.47  (assume t1193.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.47  (assume t1193.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.25/11.47  (assume t1193.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.25/11.47  (assume t1193.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))))
% 11.25/11.47  (assume t1193.t2.a14 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.25/11.47  (step t1193.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1193.t2.a1))
% 11.25/11.47  (step t1193.t2.t2 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.47  (step t1193.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t1193.t2.t1 t1193.t2.t2))
% 11.25/11.47  (step t1193.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t1193.t2.t3))
% 11.25/11.47  (step t1193.t2.t5 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1193.t2.a8))
% 11.25/11.47  (step t1193.t2.t6 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1193.t2.t5))
% 11.25/11.47  (step t1193.t2.t7 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1193.t2.t6))
% 11.25/11.47  (step t1193.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1193.t2.a10))
% 11.25/11.47  (step t1193.t2.t9 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1193.t2.t8))
% 11.25/11.47  (step t1193.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1193.t2.a3))
% 11.25/11.47  (step t1193.t2.t11 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.47  (step t1193.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t1193.t2.t10 t1193.t2.t11))
% 11.25/11.47  (step t1193.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1193.t2.t12))
% 11.25/11.47  (step t1193.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1193.t2.a9))
% 11.25/11.47  (step t1193.t2.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t1193.t2.t14))
% 11.25/11.47  (step t1193.t2.t16 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.47  (step t1193.t2.t17 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.47  (step t1193.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t1193.t2.a1 t1193.t2.t17))
% 11.25/11.47  (step t1193.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1193.t2.t1 t1193.t2.a4))
% 11.25/11.47  (step t1193.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1193.t2.a5))
% 11.25/11.47  (step t1193.t2.t21 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t1193.t2.t20))
% 11.25/11.47  (step t1193.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1193.t2.a4))
% 11.25/11.47  (step t1193.t2.t23 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule cong :premises (t1193.t2.t21 t1193.t2.t22))
% 11.25/11.47  (step t1193.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t1193.t2.a6))
% 11.25/11.47  (step t1193.t2.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule symm :premises (t1193.t2.t24))
% 11.25/11.47  (step t1193.t2.t26 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t1193.t2.a7))
% 11.25/11.47  (step t1193.t2.t27 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1193.t2.t26))
% 11.25/11.47  (step t1193.t2.t28 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t1193.t2.t27))
% 11.25/11.47  (step t1193.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t1193.t2.t28 t1193.t2.t7))
% 11.25/11.47  (step t1193.t2.t30 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t1193.t2.a4 t1193.t2.t18 t1193.t2.t19 t1193.t2.t23 t1193.t2.t25 t1193.t2.t29))
% 11.25/11.47  (step t1193.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t1193.t2.t16 t1193.t2.t30))
% 11.25/11.47  (step t1193.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1193.t2.t31))
% 11.25/11.47  (step t1193.t2.t33 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.identity)) :rule trans :premises (t1193.t2.t7 t1193.t2.t9 t1193.t2.t13 t1193.t2.t15 t1193.t2.t32 t1193.t2.t10))
% 11.25/11.47  (step t1193.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t1193.t2.t33 t1193.t2.a0))
% 11.25/11.47  (step t1193.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t1193.t2.t34))
% 11.25/11.47  (step t1193.t2.t36 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.25/11.47  (step t1193.t2.t37 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t1193.t2.t27 t1193.t2.t36))
% 11.25/11.47  (step t1193.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1193.t2.t15))
% 11.25/11.47  (step t1193.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1193.t2.t9))
% 11.25/11.47  (step t1193.t2.t40 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t1193.t2.a12))
% 11.25/11.47  (step t1193.t2.t41 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t1193.t2.t40))
% 11.25/11.47  (step t1193.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t1193.t2.t37 t1193.t2.t20 t1193.t2.a3 t1193.t2.t31 t1193.t2.t38 t1193.t2.t12 t1193.t2.t39 t1193.t2.t41))
% 11.25/11.47  (step t1193.t2.t43 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t1193.t2.t36 t1193.t2.t42))
% 11.25/11.47  (step t1193.t2.t44 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t1193.t2.t43))
% 11.25/11.47  (step t1193.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t1193.t2.a1 t1193.t2.t36))
% 11.25/11.47  (step t1193.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t1193.t2.t1 t1193.t2.a14))
% 11.25/11.47  (step t1193.t2.t47 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t1193.t2.t33))
% 11.25/11.47  (step t1193.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t1193.t2.a14))
% 11.25/11.47  (step t1193.t2.t49 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule cong :premises (t1193.t2.t47 t1193.t2.t48))
% 11.25/11.47  (step t1193.t2.t50 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1))) :rule symm :premises (t1193.t2.a13))
% 11.25/11.47  (step t1193.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule symm :premises (t1193.t2.t50))
% 11.25/11.47  (step t1193.t2.t52 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9))) :rule symm :premises (t1193.t2.a11))
% 11.25/11.47  (step t1193.t2.t53 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t1193.t2.a2))
% 11.25/11.47  (step t1193.t2.t54 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t1193.t2.a0))
% 11.25/11.47  (step t1193.t2.t55 (cl (= tptp.sk_c1 tptp.sk_c9)) :rule trans :premises (t1193.t2.a14 t1193.t2.t45 t1193.t2.t46 t1193.t2.t49 t1193.t2.t51 t1193.t2.t43 t1193.t2.t52 t1193.t2.t34 t1193.t2.t53 t1193.t2.t3 t1193.t2.t54))
% 11.25/11.47  (step t1193.t2.t56 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c1) tptp.sk_c10)) :rule trans :premises (t1193.t2.t37 t1193.t2.t20 t1193.t2.a3 t1193.t2.t31 t1193.t2.t38 t1193.t2.t12 t1193.t2.t39))
% 11.25/11.47  (step t1193.t2.t57 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)) (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule cong :premises (t1193.t2.t55 t1193.t2.t56))
% 11.25/11.47  (step t1193.t2.t58 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule trans :premises (t1193.t2.a0 t1193.t2.t4 t1193.t2.a2 t1193.t2.t35 t1193.t2.a11 t1193.t2.t44 t1193.t2.t57))
% 11.25/11.47  (step t1193.t2 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule subproof :discharge (t1193.t2.a0 t1193.t2.a1 t1193.t2.a2 t1193.t2.a3 t1193.t2.a4 t1193.t2.a5 t1193.t2.a6 t1193.t2.a7 t1193.t2.a8 t1193.t2.a9 t1193.t2.a10 t1193.t2.a11 t1193.t2.a12 t1193.t2.a13 t1193.t2.a14))
% 11.25/11.47  (step t1193.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1193.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1193.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1193.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1193.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1193.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1193.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1193.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1193.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1193.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1193.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1193.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1193.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1193.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.47  (step t1193.t17 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1193.t18 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))))) :rule resolution :premises (t1193.t2 t1193.t3 t1193.t4 t1193.t5 t1193.t6 t1193.t7 t1193.t8 t1193.t9 t1193.t10 t1193.t11 t1193.t12 t1193.t13 t1193.t14 t1193.t15 t1193.t16 t1193.t17))
% 11.25/11.47  (step t1193.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule reordering :premises (t1193.t18))
% 11.25/11.47  (step t1193.t20 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule contraction :premises (t1193.t19))
% 11.25/11.47  (step t1193.t21 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t1193.t1 t1193.t20))
% 11.25/11.47  (step t1193.t22 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.47  (step t1193.t23 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule resolution :premises (t1193.t21 t1193.t22))
% 11.25/11.47  (step t1193.t24 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule contraction :premises (t1193.t23))
% 11.25/11.47  (step t1193.t25 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule implies :premises (t1193.t24))
% 11.25/11.47  (step t1193.t26 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule and_neg)
% 11.25/11.47  (step t1193.t27 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t1193.t26 t1193.a13 t1193.a3 t1193.a12 t1193.a8 t1193.a7 t1193.a6 t1193.a9 t1193.a1 t1193.a0 t1193.a10 t1193.a4 t1193.a14 t1193.a2 t1193.a11 t1193.a5))
% 11.25/11.47  (step t1193.t28 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t1193.t25 t1193.t27))
% 11.25/11.47  (step t1193 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule subproof :discharge (t1193.a0 t1193.a1 t1193.a2 t1193.a3 t1193.a4 t1193.a5 t1193.a6 t1193.a7 t1193.a8 t1193.a9 t1193.a10 t1193.a11 t1193.a12 t1193.a13 t1193.a14))
% 11.25/11.47  (step t1194 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1195 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1196 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1197 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1198 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1199 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1200 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1201 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1202 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1203 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1204 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1205 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) :rule and_pos)
% 11.25/11.47  (step t1206 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1207 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.47  (step t1208 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.25/11.47  (step t1209 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))))) :rule resolution :premises (t1193 t1194 t1195 t1196 t1197 t1198 t1199 t1200 t1201 t1202 t1203 t1204 t1205 t1206 t1207 t1208))
% 11.25/11.47  (step t1210 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule reordering :premises (t1209))
% 11.25/11.47  (step t1211 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule contraction :premises (t1210))
% 11.25/11.47  (step t1212 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t1192 t1211))
% 11.25/11.47  (step t1213 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.47  (step t1214 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule resolution :premises (t1212 t1213))
% 11.25/11.47  (step t1215 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10)))) :rule contraction :premises (t1214))
% 11.25/11.47  (step t1216 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule implies :premises (t1215))
% 11.25/11.47  (step t1217 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) :rule resolution :premises (t1191 t1216))
% 11.25/11.47  (step t1218 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10)) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c9) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule reordering :premises (t1217))
% 11.25/11.47  (step t1219 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule resolution :premises (t823 t839 t1020 t1028 t1036 t1044 t175 t183 t191 t891 t231 t751 t239 t247 t759 t899 t255 t263 t1076 t1028 t1036 t1044 t175 t183 t191 t891 t231 t751 t239 t247 t759 t899 t255 t263 t1108 t1028 t1044 t175 t183 t191 t891 t231 t751 t239 t247 t759 t899 t255 t263 t1140 t1028 t1036 t1044 t175 t183 t191 t891 t231 t751 t239 t247 t759 t899 t255 t263 t1141 t1148 t1150 t1181 t1028 t1044 t175 t183 t191 t891 t231 t751 t239 t247 t759 t899 t255 t263 t1188 t1190 t1218 t262 t254 t898 t758 t246 t238 t750 t230 t890 t190 t182 t174 t555))
% 11.25/11.47  (step t1220 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) :rule contraction :premises (t1219))
% 11.25/11.47  (step t1221 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1222)
% 11.25/11.47  (assume t1222.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))))
% 11.25/11.47  (step t1222.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 11.25/11.47  (step t1222.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t1222.t1))
% 11.25/11.47  (step t1222.t3 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t1222.t2 t1222.a0))
% 11.25/11.47  (step t1222 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t1222.a0))
% 11.25/11.47  (step t1223 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t1221 t1222))
% 11.25/11.47  (step t1224 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.25/11.47  (step t1225 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t1223 t1224))
% 11.25/11.47  (step t1226 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t1225))
% 11.25/11.47  (step t1227 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t1226))
% 11.25/11.47  (step t1228 (cl (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 11.25/11.47  (step t1229 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t1228))
% 11.25/11.47  (step t1230 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1220 t1227 t1229 t147 t158 a2))
% 11.25/11.47  (step t1231 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t1230))
% 11.25/11.47  (step t1232 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t394))
% 11.25/11.47  (step t1233 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule and_neg)
% 11.25/11.47  (step t1234 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1235)
% 11.25/11.47  (assume t1235.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.47  (assume t1235.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.47  (assume t1235.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1235.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.47  (assume t1235.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1235.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.47  (step t1235.t1 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1235.t2)
% 11.25/11.47  (assume t1235.t2.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.25/11.47  (assume t1235.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.25/11.47  (assume t1235.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))
% 11.25/11.47  (assume t1235.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.25/11.47  (assume t1235.t2.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1235.t2.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (step t1235.t2.t1 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.47  (step t1235.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t1235.t2.a5 t1235.t2.t1))
% 11.25/11.47  (step t1235.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1235.t2.a5))
% 11.25/11.47  (step t1235.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1235.t2.t3 t1235.t2.a4))
% 11.25/11.47  (step t1235.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t1235.t2.a3))
% 11.25/11.47  (step t1235.t2.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t1235.t2.t5))
% 11.25/11.47  (step t1235.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1235.t2.a4))
% 11.25/11.47  (step t1235.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule cong :premises (t1235.t2.t6 t1235.t2.t7))
% 11.25/11.47  (step t1235.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11))) :rule symm :premises (t1235.t2.a2))
% 11.25/11.47  (step t1235.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule symm :premises (t1235.t2.t9))
% 11.25/11.47  (step t1235.t2.t11 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t1235.t2.a0))
% 11.25/11.47  (step t1235.t2.t12 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1235.t2.a1))
% 11.25/11.47  (step t1235.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t1235.t2.t11 t1235.t2.t12))
% 11.25/11.47  (step t1235.t2.t14 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1235.t2.t11))
% 11.25/11.47  (step t1235.t2.t15 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.47  (step t1235.t2.t16 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t1235.t2.t14 t1235.t2.t15))
% 11.25/11.47  (step t1235.t2.t17 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule trans :premises (t1235.t2.a4 t1235.t2.t2 t1235.t2.t4 t1235.t2.t8 t1235.t2.t10 t1235.t2.t13 t1235.t2.t16))
% 11.25/11.47  (step t1235.t2 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule subproof :discharge (t1235.t2.a0 t1235.t2.a1 t1235.t2.a2 t1235.t2.a3 t1235.t2.a4 t1235.t2.a5))
% 11.25/11.47  (step t1235.t3 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1235.t4 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1235.t5 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1235.t6 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1235.t7 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1235.t8 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1235.t9 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t1235.t2 t1235.t3 t1235.t4 t1235.t5 t1235.t6 t1235.t7 t1235.t8))
% 11.25/11.47  (step t1235.t10 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule reordering :premises (t1235.t9))
% 11.25/11.47  (step t1235.t11 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule contraction :premises (t1235.t10))
% 11.25/11.47  (step t1235.t12 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1235.t1 t1235.t11))
% 11.25/11.47  (step t1235.t13 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.47  (step t1235.t14 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule resolution :premises (t1235.t12 t1235.t13))
% 11.25/11.47  (step t1235.t15 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule contraction :premises (t1235.t14))
% 11.25/11.47  (step t1235.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule implies :premises (t1235.t15))
% 11.25/11.47  (step t1235.t17 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.25/11.47  (step t1235.t18 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t1235.t17 t1235.a1 t1235.a0 t1235.a5 t1235.a3 t1235.a4 t1235.a2))
% 11.25/11.47  (step t1235.t19 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1235.t16 t1235.t18))
% 11.25/11.47  (step t1235 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule subproof :discharge (t1235.a0 t1235.a1 t1235.a2 t1235.a3 t1235.a4 t1235.a5))
% 11.25/11.47  (step t1236 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1237 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1238 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1239 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.25/11.47  (step t1240 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1241 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1242 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))))) :rule resolution :premises (t1235 t1236 t1237 t1238 t1239 t1240 t1241))
% 11.25/11.47  (step t1243 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule reordering :premises (t1242))
% 11.25/11.47  (step t1244 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule contraction :premises (t1243))
% 11.25/11.47  (step t1245 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1234 t1244))
% 11.25/11.47  (step t1246 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule implies_neg2)
% 11.25/11.47  (step t1247 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule resolution :premises (t1245 t1246))
% 11.25/11.47  (step t1248 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10)))) :rule contraction :premises (t1247))
% 11.25/11.47  (step t1249 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule implies :premises (t1248))
% 11.25/11.47  (step t1250 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1233 t1249))
% 11.25/11.47  (step t1251 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.25/11.47  (step t1252 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 11.25/11.47  (step t1253 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t1252 t580))
% 11.25/11.47  (step t1254 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1251 t1253 a44))
% 11.25/11.47  (step t1255 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t1254))
% 11.25/11.47  (step t1256 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t1255))
% 11.25/11.47  (step t1257 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule resolution :premises (t837 t841 t785 t199 t323 t331 t231 t751 t239 t247 t759 t255 t263 t1232 t823 t839 t967 t175 t883 t183 t191 t199 t323 t331 t891 t231 t751 t239 t247 t759 t899 t255 t263 t932 t175 t883 t183 t191 t199 t323 t331 t891 t231 t751 t239 t247 t759 t899 t255 t263 t875 t175 t883 t183 t191 t199 t323 t331 t891 t231 t751 t239 t247 t759 t899 t255 t263 t1250 t751 t247 t759 t263 t562 t573 t1256 t555))
% 11.25/11.47  (step t1258 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule contraction :premises (t1257))
% 11.25/11.47  (step t1259 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.25/11.47  (step t1260 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t1252 t610))
% 11.25/11.47  (step t1261 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t1259 t1260 a45))
% 11.25/11.47  (step t1262 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t1261))
% 11.25/11.47  (step t1263 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t1262))
% 11.25/11.47  (step t1264 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.25/11.47  (step t1265 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t1252 t604))
% 11.25/11.47  (step t1266 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t1264 t1265 a46))
% 11.25/11.47  (step t1267 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t1266))
% 11.25/11.47  (step t1268 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t1267))
% 11.25/11.47  (step t1269 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule resolution :premises (t1258 t1227 t1229 t1263 t1268))
% 11.25/11.47  (step t1270 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) :rule contraction :premises (t1269))
% 11.25/11.47  (step t1271 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1270))
% 11.25/11.47  (step t1272 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule resolution :premises (t1250 t751 t247 t759 t263))
% 11.25/11.47  (step t1273 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule resolution :premises (t987 t1231 t1271 t1272 t555))
% 11.25/11.47  (step t1274 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule contraction :premises (t1273))
% 11.25/11.47  (step t1275 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1274 t1227 t1229))
% 11.25/11.47  (step t1276 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule contraction :premises (t1275))
% 11.25/11.47  (step t1277 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1276))
% 11.25/11.47  (step t1278 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t815 t1277))
% 11.25/11.47  (step t1279 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1278))
% 11.25/11.47  (step t1280 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule resolution :premises (t621 t1279))
% 11.25/11.47  (step t1281 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule contraction :premises (t1280))
% 11.25/11.47  (step t1282 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule resolution :premises (t39 t1281))
% 11.25/11.47  (step t1283 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.25/11.47  (step t1284 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t35 t580))
% 11.25/11.47  (step t1285 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1283 t1284 a4))
% 11.25/11.47  (step t1286 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t1285))
% 11.25/11.47  (step t1287 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t1286 t1281))
% 11.25/11.47  (step t1288 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.25/11.47  (step t1289 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t35 t586))
% 11.25/11.47  (step t1290 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t1288 t1289 a7))
% 11.25/11.47  (step t1291 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t1290))
% 11.25/11.47  (step t1292 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule resolution :premises (t1291 t1281))
% 11.25/11.47  (step t1293 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.25/11.47  (step t1294 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t35 t592))
% 11.25/11.47  (step t1295 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t1293 t1294 a8))
% 11.25/11.47  (step t1296 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t1295))
% 11.25/11.47  (step t1297 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t1296 t1281))
% 11.25/11.47  (step t1298 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule equiv_pos2)
% 11.25/11.47  (step t1299 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))))) :rule cong :premises (t35 t598))
% 11.25/11.47  (step t1300 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))) :rule resolution :premises (t1298 t1299 a9))
% 11.25/11.47  (step t1301 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule or :premises (t1300))
% 11.25/11.47  (step t1302 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule resolution :premises (t1301 t1281))
% 11.25/11.47  (step t1303 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t33 t1282 t1287 t1292 t1297 t1302 t263 t255 t247 t239 t231 t207 t167 t159 t148 t129 t121 t113 t97 t89))
% 11.25/11.47  (step t1304 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1305)
% 11.25/11.47  (assume t1305.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.47  (assume t1305.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.47  (assume t1305.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.47  (assume t1305.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.47  (assume t1305.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.47  (assume t1305.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1305.a6 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.47  (assume t1305.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1305.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.47  (assume t1305.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.47  (assume t1305.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.47  (assume t1305.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.47  (assume t1305.a12 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.47  (assume t1305.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.47  (assume t1305.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.47  (assume t1305.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.47  (assume t1305.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.47  (assume t1305.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.47  (assume t1305.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.47  (step t1305.t1 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1305.t2)
% 11.25/11.47  (assume t1305.t2.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.47  (assume t1305.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.47  (assume t1305.t2.a2 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.47  (assume t1305.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.47  (assume t1305.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.47  (assume t1305.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.47  (assume t1305.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.47  (assume t1305.t2.a7 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1305.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1305.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.25/11.47  (assume t1305.t2.a10 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.25/11.47  (assume t1305.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.25/11.47  (assume t1305.t2.a12 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))))
% 11.25/11.47  (assume t1305.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))))
% 11.25/11.47  (assume t1305.t2.a14 (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)))
% 11.25/11.47  (assume t1305.t2.a15 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.25/11.47  (assume t1305.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.25/11.47  (assume t1305.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))
% 11.25/11.47  (assume t1305.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))
% 11.25/11.47  (step t1305.t2.t1 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.47  (step t1305.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t1305.t2.a8 t1305.t2.t1))
% 11.25/11.47  (step t1305.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1305.t2.a8))
% 11.25/11.47  (step t1305.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1305.t2.t3 t1305.t2.a7))
% 11.25/11.47  (step t1305.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1305.t2.a6))
% 11.25/11.47  (step t1305.t2.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t1305.t2.t5))
% 11.25/11.47  (step t1305.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1305.t2.a7))
% 11.25/11.47  (step t1305.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t1305.t2.t6 t1305.t2.t7))
% 11.25/11.47  (step t1305.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t1305.t2.a5))
% 11.25/11.47  (step t1305.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t1305.t2.t9))
% 11.25/11.47  (step t1305.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.25/11.47  (step t1305.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1305.t2.a1))
% 11.25/11.47  (step t1305.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t1305.t2.t11 t1305.t2.t12))
% 11.25/11.47  (step t1305.t2.t14 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t1305.t2.a0))
% 11.25/11.47  (step t1305.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1305.t2.a3))
% 11.25/11.47  (step t1305.t2.t16 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.47  (step t1305.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t1305.t2.t15 t1305.t2.t16))
% 11.25/11.47  (step t1305.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1305.t2.t17))
% 11.25/11.47  (step t1305.t2.t19 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.47  (step t1305.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t1305.t2.t14 t1305.t2.t16))
% 11.25/11.47  (step t1305.t2.t21 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t1305.t2.a7 t1305.t2.t2 t1305.t2.t4 t1305.t2.t8 t1305.t2.t10 t1305.t2.t13 t1305.t2.t20))
% 11.25/11.47  (step t1305.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t1305.t2.t19 t1305.t2.t21))
% 11.25/11.47  (step t1305.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule symm :premises (t1305.t2.t22))
% 11.25/11.47  (step t1305.t2.t24 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t1305.t2.a10))
% 11.25/11.47  (step t1305.t2.t25 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t1305.t2.t24))
% 11.25/11.47  (step t1305.t2.t26 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.25/11.47  (step t1305.t2.t27 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t1305.t2.t25 t1305.t2.t26))
% 11.25/11.47  (step t1305.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule symm :premises (t1305.t2.t27))
% 11.25/11.47  (step t1305.t2.t29 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.25/11.47  (step t1305.t2.t30 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t1305.t2.a2 t1305.t2.t18 t1305.t2.a4 t1305.t2.t23 t1305.t2.t15))
% 11.25/11.47  (step t1305.t2.t31 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t1305.t2.t30 t1305.t2.a11))
% 11.25/11.47  (step t1305.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t1305.t2.a12))
% 11.25/11.47  (step t1305.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t1305.t2.t3 t1305.t2.t26))
% 11.25/11.47  (step t1305.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1305.t2.a11))
% 11.25/11.47  (step t1305.t2.t35 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c5) tptp.sk_c5)) :rule trans :premises (t1305.t2.t31 t1305.t2.t32 t1305.t2.t33 t1305.t2.t34))
% 11.25/11.47  (step t1305.t2.t36 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule cong :premises (t1305.t2.t29 t1305.t2.t35))
% 11.25/11.47  (step t1305.t2.t37 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t1305.t2.t36))
% 11.25/11.47  (step t1305.t2.t38 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule symm :premises (t1305.t2.a13))
% 11.25/11.47  (step t1305.t2.t39 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) :rule symm :premises (t1305.t2.a14))
% 11.25/11.47  (step t1305.t2.t40 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule symm :premises (t1305.t2.t39))
% 11.25/11.47  (step t1305.t2.t41 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5))) :rule cong :premises (t1305.t2.t40 t1305.t2.t26))
% 11.25/11.47  (step t1305.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule symm :premises (t1305.t2.t41))
% 11.25/11.47  (step t1305.t2.t43 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t1305.t2.a15))
% 11.25/11.47  (step t1305.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c11 tptp.sk_c5))) :rule cong :premises (t1305.t2.t43 t1305.t2.t26))
% 11.25/11.47  (step t1305.t2.t45 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t1305.t2.t44))
% 11.25/11.47  (step t1305.t2.t46 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t1305.t2.a2 t1305.t2.t18 t1305.t2.a4 t1305.t2.t23 t1305.t2.t15 t1305.t2.a9 t1305.t2.t28))
% 11.25/11.47  (step t1305.t2.t47 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule cong :premises (t1305.t2.t26 t1305.t2.t46))
% 11.25/11.47  (step t1305.t2.t48 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule symm :premises (t1305.t2.t47))
% 11.25/11.47  (step t1305.t2.t49 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule trans :premises (t1305.t2.a2 t1305.t2.t18 t1305.t2.a4 t1305.t2.t23 t1305.t2.t15 t1305.t2.a9 t1305.t2.t28 t1305.t2.t37 t1305.t2.t38 t1305.t2.t42 t1305.t2.t45 t1305.t2.a16 t1305.t2.t48))
% 11.25/11.47  (step t1305.t2.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule cong :premises (t1305.t2.t14 t1305.t2.t49))
% 11.25/11.47  (step t1305.t2.t51 (cl (= (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10))) :rule symm :premises (t1305.t2.a18))
% 11.25/11.47  (step t1305.t2.t52 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule trans :premises (t1305.t2.t45 t1305.t2.a16))
% 11.25/11.47  (step t1305.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule cong :premises (t1305.t2.t52 t1305.t2.t16))
% 11.25/11.47  (step t1305.t2.t54 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10))) :rule symm :premises (t1305.t2.a17))
% 11.25/11.47  (step t1305.t2.t55 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule symm :premises (t1305.t2.t54))
% 11.25/11.47  (step t1305.t2.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t1305.t2.a9))
% 11.25/11.47  (step t1305.t2.t57 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.identity)) :rule trans :premises (t1305.t2.t27 t1305.t2.t56))
% 11.25/11.47  (step t1305.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t1305.t2.t57 t1305.t2.t30))
% 11.25/11.47  (step t1305.t2.t59 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1305.t2.a4))
% 11.25/11.47  (step t1305.t2.t60 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1305.t2.a2))
% 11.25/11.47  (step t1305.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t1305.t2.t58 t1305.t2.t3 t1305.t2.a3 t1305.t2.t22 t1305.t2.t59 t1305.t2.t17 t1305.t2.t60))
% 11.25/11.47  (step t1305.t2.t62 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) (tptp.multiply tptp.sk_c5 tptp.sk_c10))) :rule cong :premises (t1305.t2.t26 t1305.t2.t61))
% 11.25/11.47  (step t1305.t2.t63 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t1305.t2.a16))
% 11.25/11.47  (step t1305.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule symm :premises (t1305.t2.t38))
% 11.25/11.47  (step t1305.t2.t65 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t1305.t2.t12))
% 11.25/11.47  (step t1305.t2.t66 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.25/11.47  (step t1305.t2.t67 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1305.t2.t14))
% 11.25/11.47  (step t1305.t2.t68 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t1305.t2.t66 t1305.t2.t67))
% 11.25/11.47  (step t1305.t2.t69 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t1305.t2.a7 t1305.t2.t2 t1305.t2.t4 t1305.t2.t8 t1305.t2.t10 t1305.t2.t13 t1305.t2.t50 t1305.t2.t51 t1305.t2.t53 t1305.t2.t55 t1305.t2.t62 t1305.t2.t47 t1305.t2.t63 t1305.t2.t44 t1305.t2.t41 t1305.t2.t64 t1305.t2.t36 t1305.t2.t27 t1305.t2.t56 t1305.t2.a3 t1305.t2.t22 t1305.t2.t59 t1305.t2.t17 t1305.t2.t60 t1305.t2.t65 t1305.t2.t68))
% 11.25/11.47  (step t1305.t2 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t1305.t2.a0 t1305.t2.a1 t1305.t2.a2 t1305.t2.a3 t1305.t2.a4 t1305.t2.a5 t1305.t2.a6 t1305.t2.a7 t1305.t2.a8 t1305.t2.a9 t1305.t2.a10 t1305.t2.a11 t1305.t2.a12 t1305.t2.a13 t1305.t2.a14 t1305.t2.a15 t1305.t2.a16 t1305.t2.a17 t1305.t2.a18))
% 11.25/11.47  (step t1305.t3 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.47  (step t1305.t4 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1305.t5 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1305.t6 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1305.t7 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1305.t8 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1305.t9 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.47  (step t1305.t10 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1305.t11 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1305.t12 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.47  (step t1305.t13 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.47  (step t1305.t14 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.47  (step t1305.t15 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.47  (step t1305.t16 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.47  (step t1305.t17 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1305.t18 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.47  (step t1305.t19 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.47  (step t1305.t20 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1305.t21 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1305.t22 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))))) :rule resolution :premises (t1305.t2 t1305.t3 t1305.t4 t1305.t5 t1305.t6 t1305.t7 t1305.t8 t1305.t9 t1305.t10 t1305.t11 t1305.t12 t1305.t13 t1305.t14 t1305.t15 t1305.t16 t1305.t17 t1305.t18 t1305.t19 t1305.t20 t1305.t21))
% 11.25/11.47  (step t1305.t23 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t1305.t22))
% 11.25/11.47  (step t1305.t24 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t1305.t23))
% 11.25/11.47  (step t1305.t25 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1305.t1 t1305.t24))
% 11.25/11.47  (step t1305.t26 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.47  (step t1305.t27 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1305.t25 t1305.t26))
% 11.25/11.47  (step t1305.t28 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t1305.t27))
% 11.25/11.47  (step t1305.t29 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t1305.t28))
% 11.25/11.47  (step t1305.t30 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule and_neg)
% 11.25/11.47  (step t1305.t31 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))))) :rule resolution :premises (t1305.t30 t1305.a1 t1305.a0 t1305.a6 t1305.a8 t1305.a9 t1305.a17 t1305.a10 t1305.a7 t1305.a5 t1305.a13 t1305.a3 t1305.a12 t1305.a11 t1305.a15 t1305.a4 t1305.a2 t1305.a14 t1305.a18 t1305.a16))
% 11.25/11.47  (step t1305.t32 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1305.t29 t1305.t31))
% 11.25/11.47  (step t1305 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t1305.a0 t1305.a1 t1305.a2 t1305.a3 t1305.a4 t1305.a5 t1305.a6 t1305.a7 t1305.a8 t1305.a9 t1305.a10 t1305.a11 t1305.a12 t1305.a13 t1305.a14 t1305.a15 t1305.a16 t1305.a17 t1305.a18))
% 11.25/11.47  (step t1306 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1307 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.47  (step t1308 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.25/11.47  (step t1309 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.25/11.47  (step t1310 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1311 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.47  (step t1312 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.47  (step t1313 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1314 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.47  (step t1315 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1316 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.47  (step t1317 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 11.25/11.47  (step t1318 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.25/11.47  (step t1319 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.25/11.47  (step t1320 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.47  (step t1321 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) :rule and_pos)
% 11.25/11.47  (step t1322 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1323 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.47  (step t1324 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) :rule and_pos)
% 11.25/11.47  (step t1325 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))))) :rule resolution :premises (t1305 t1306 t1307 t1308 t1309 t1310 t1311 t1312 t1313 t1314 t1315 t1316 t1317 t1318 t1319 t1320 t1321 t1322 t1323 t1324))
% 11.25/11.47  (step t1326 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule reordering :premises (t1325))
% 11.25/11.47  (step t1327 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t1326))
% 11.25/11.47  (step t1328 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1304 t1327))
% 11.25/11.47  (step t1329 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.25/11.47  (step t1330 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1328 t1329))
% 11.25/11.47  (step t1331 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t1330))
% 11.25/11.47  (step t1332 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t1331))
% 11.25/11.47  (step t1333 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c8 tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c5) tptp.sk_c10) (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) tptp.sk_c10) (tptp.multiply tptp.sk_c5 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t3 t1332))
% 11.25/11.47  (step t1334 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1333 t1282 t1287 t1292 t1297 t1302 t263 t255 t247 t239 t231 t207 t167 t159 t148 t129 t121 t113 t97 t89))
% 11.25/11.47  (step t1335 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.25/11.47  (step t1336 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t35 t604))
% 11.25/11.47  (step t1337 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t1335 t1336 a6))
% 11.25/11.47  (step t1338 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t1337))
% 11.25/11.47  (step t1339 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t1338 t1281))
% 11.25/11.47  (step t1340 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t315 t1282 t1287 t1339 t1292 t1297 t1302 t263 t255 t247 t239 t231 t207 t331 t323 t199 t167 t159 t148 t129 t121 t113 t97 t89))
% 11.25/11.47  (step t1341 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule resolution :premises (t280 t1282 t263 t247 t207 t97))
% 11.25/11.47  (step t1342 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t394))
% 11.25/11.47  (step t1343 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.25/11.47  (step t1344 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t35 t610))
% 11.25/11.47  (step t1345 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t1343 t1344 a5))
% 11.25/11.47  (step t1346 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t1345))
% 11.25/11.47  (step t1347 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule resolution :premises (t1346 t1281))
% 11.25/11.47  (step t1348 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t553 t1282 t1287 t1347 t1339 t1292 t1297 t1302 t263 t255 t247 t239 t231 t207 t199 t191 t183 t167 t159 t148 t129 t121 t113 t105 t97 t89))
% 11.25/11.47  (step t1349 (cl (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t575 t1282 t1287))
% 11.25/11.47  (step t1350 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))))) :rule resolution :premises (t571 t1349))
% 11.25/11.47  (step t1351 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_neg)
% 11.25/11.47  (step t1352 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1353)
% 11.25/11.47  (assume t1353.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.47  (assume t1353.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.47  (assume t1353.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.47  (assume t1353.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.47  (assume t1353.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1353.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.47  (assume t1353.a6 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.47  (assume t1353.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.47  (assume t1353.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.47  (assume t1353.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.47  (assume t1353.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.47  (assume t1353.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.47  (assume t1353.a12 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.47  (assume t1353.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.47  (assume t1353.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.47  (step t1353.t1 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.25/11.47  (anchor :step t1353.t2)
% 11.25/11.47  (assume t1353.t2.a0 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))
% 11.25/11.47  (assume t1353.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.25/11.47  (assume t1353.t2.a2 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))))
% 11.25/11.47  (assume t1353.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)))
% 11.25/11.47  (assume t1353.t2.a4 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))
% 11.25/11.48  (assume t1353.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.25/11.48  (assume t1353.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.25/11.48  (assume t1353.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.25/11.48  (assume t1353.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.25/11.48  (assume t1353.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.25/11.48  (assume t1353.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.25/11.48  (assume t1353.t2.a11 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.25/11.48  (assume t1353.t2.a12 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.25/11.48  (assume t1353.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))))
% 11.25/11.48  (assume t1353.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.25/11.48  (step t1353.t2.t1 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1353.t2.a7))
% 11.25/11.48  (step t1353.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t1353.t2.a10))
% 11.25/11.48  (step t1353.t2.t3 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t1353.t2.t2))
% 11.25/11.48  (step t1353.t2.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1353.t2.a14))
% 11.25/11.48  (step t1353.t2.t5 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t1353.t2.t4))
% 11.25/11.48  (step t1353.t2.t6 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.25/11.48  (step t1353.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule cong :premises (t1353.t2.t5 t1353.t2.t6))
% 11.25/11.48  (step t1353.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10))) :rule symm :premises (t1353.t2.a13))
% 11.25/11.48  (step t1353.t2.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule symm :premises (t1353.t2.t8))
% 11.25/11.48  (step t1353.t2.t10 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t1353.t2.a11))
% 11.25/11.48  (step t1353.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t1353.t2.a3 t1353.t2.t6))
% 11.25/11.48  (step t1353.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t1353.t2.a9))
% 11.25/11.48  (step t1353.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t1353.t2.t12))
% 11.25/11.48  (step t1353.t2.t14 (cl (= (tptp.inverse tptp.sk_c11) (tptp.inverse tptp.sk_c11))) :rule refl)
% 11.25/11.48  (step t1353.t2.t15 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t1353.t2.a8))
% 11.25/11.48  (step t1353.t2.t16 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1353.t2.t15))
% 11.25/11.48  (step t1353.t2.t17 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) :rule cong :premises (t1353.t2.t16 t1353.t2.t6))
% 11.25/11.48  (step t1353.t2.t18 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.25/11.48  (step t1353.t2.t19 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t1353.t2.t1))
% 11.25/11.48  (step t1353.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t1353.t2.t18 t1353.t2.t19))
% 11.25/11.48  (step t1353.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule symm :premises (t1353.t2.a6))
% 11.25/11.48  (step t1353.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1353.t2.a5))
% 11.25/11.48  (step t1353.t2.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)))) :rule cong :premises (t1353.t2.t22 t1353.t2.a4))
% 11.25/11.48  (step t1353.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c11) tptp.sk_c11)) :rule symm :premises (t1353.t2.a4))
% 11.25/11.48  (step t1353.t2.t25 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c11)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11))) :rule cong :premises (t1353.t2.a1 t1353.t2.t24))
% 11.25/11.48  (step t1353.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1353.t2.a1))
% 11.25/11.48  (step t1353.t2.t27 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.25/11.48  (step t1353.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c11) (tptp.multiply tptp.identity tptp.sk_c11))) :rule cong :premises (t1353.t2.t26 t1353.t2.t27))
% 11.25/11.48  (step t1353.t2.t29 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) tptp.sk_c11)) :rule trans :premises (t1353.t2.t17 t1353.t2.t20 t1353.t2.t21 t1353.t2.t23 t1353.t2.t25 t1353.t2.t28 t1353.t2.t24))
% 11.25/11.48  (step t1353.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule cong :premises (t1353.t2.t14 t1353.t2.t29))
% 11.25/11.48  (step t1353.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.identity)) :rule symm :premises (t1353.t2.a3))
% 11.25/11.48  (step t1353.t2.t32 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t1353.t2.t10 t1353.t2.t3 t1353.t2.t11 t1353.t2.t13 t1353.t2.t30 t1353.t2.t31))
% 11.25/11.48  (step t1353.t2.t33 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t1353.t2.a12))
% 11.25/11.48  (step t1353.t2.t34 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c9))) :rule trans :premises (t1353.t2.t33 t1353.t2.a0))
% 11.25/11.48  (step t1353.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule cong :premises (t1353.t2.t32 t1353.t2.t34))
% 11.25/11.48  (step t1353.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9))) :rule symm :premises (t1353.t2.a2))
% 11.25/11.48  (step t1353.t2.t37 (cl (= tptp.sk_c9 tptp.sk_c9)) :rule refl)
% 11.25/11.48  (step t1353.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity tptp.sk_c9))) :rule cong :premises (t1353.t2.t26 t1353.t2.t37))
% 11.25/11.48  (step t1353.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c9) tptp.sk_c9)) :rule symm :premises (t1353.t2.a0))
% 11.25/11.48  (step t1353.t2.t40 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule trans :premises (t1353.t2.t1 t1353.t2.t3 t1353.t2.t7 t1353.t2.t9 t1353.t2.t35 t1353.t2.t36 t1353.t2.t38 t1353.t2.t39))
% 11.25/11.48  (step t1353.t2 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule subproof :discharge (t1353.t2.a0 t1353.t2.a1 t1353.t2.a2 t1353.t2.a3 t1353.t2.a4 t1353.t2.a5 t1353.t2.a6 t1353.t2.a7 t1353.t2.a8 t1353.t2.a9 t1353.t2.a10 t1353.t2.a11 t1353.t2.a12 t1353.t2.a13 t1353.t2.a14))
% 11.25/11.48  (step t1353.t3 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.48  (step t1353.t4 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.48  (step t1353.t5 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.48  (step t1353.t6 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.48  (step t1353.t7 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.48  (step t1353.t8 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.48  (step t1353.t9 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.48  (step t1353.t10 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.48  (step t1353.t11 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.48  (step t1353.t12 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.48  (step t1353.t13 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.48  (step t1353.t14 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.48  (step t1353.t15 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.48  (step t1353.t16 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.48  (step t1353.t17 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.48  (step t1353.t18 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t1353.t2 t1353.t3 t1353.t4 t1353.t5 t1353.t6 t1353.t7 t1353.t8 t1353.t9 t1353.t10 t1353.t11 t1353.t12 t1353.t13 t1353.t14 t1353.t15 t1353.t16 t1353.t17))
% 11.25/11.48  (step t1353.t19 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule reordering :premises (t1353.t18))
% 11.25/11.48  (step t1353.t20 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule contraction :premises (t1353.t19))
% 11.25/11.48  (step t1353.t21 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t1353.t1 t1353.t20))
% 11.25/11.48  (step t1353.t22 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule implies_neg2)
% 11.25/11.48  (step t1353.t23 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule resolution :premises (t1353.t21 t1353.t22))
% 11.25/11.48  (step t1353.t24 (cl (=> (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule contraction :premises (t1353.t23))
% 11.25/11.48  (step t1353.t25 (cl (not (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule implies :premises (t1353.t24))
% 11.25/11.48  (step t1353.t26 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.25/11.48  (step t1353.t27 (cl (and (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t1353.t26 t1353.a12 t1353.a4 t1353.a11 t1353.a7 t1353.a6 t1353.a9 t1353.a14 t1353.a0 t1353.a1 t1353.a8 t1353.a5 t1353.a3 t1353.a2 t1353.a13 t1353.a10))
% 11.25/11.48  (step t1353.t28 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t1353.t25 t1353.t27))
% 11.25/11.48  (step t1353 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule subproof :discharge (t1353.a0 t1353.a1 t1353.a2 t1353.a3 t1353.a4 t1353.a5 t1353.a6 t1353.a7 t1353.a8 t1353.a9 t1353.a10 t1353.a11 t1353.a12 t1353.a13 t1353.a14))
% 11.25/11.48  (step t1354 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.25/11.48  (step t1355 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.25/11.48  (step t1356 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.25/11.48  (step t1357 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.25/11.48  (step t1358 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.25/11.48  (step t1359 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.25/11.48  (step t1360 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) :rule and_pos)
% 11.25/11.48  (step t1361 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) :rule and_pos)
% 11.25/11.48  (step t1362 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.48  (step t1363 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.25/11.48  (step t1364 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.25/11.48  (step t1365 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) :rule and_pos)
% 11.25/11.48  (step t1366 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) :rule and_pos)
% 11.25/11.48  (step t1367 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule and_pos)
% 11.25/11.48  (step t1368 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.25/11.48  (step t1369 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t1353 t1354 t1355 t1356 t1357 t1358 t1359 t1360 t1361 t1362 t1363 t1364 t1365 t1366 t1367 t1368))
% 11.25/11.48  (step t1370 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule reordering :premises (t1369))
% 11.25/11.48  (step t1371 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule contraction :premises (t1370))
% 11.25/11.48  (step t1372 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t1352 t1371))
% 11.25/11.48  (step t1373 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule implies_neg2)
% 11.25/11.48  (step t1374 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule resolution :premises (t1372 t1373))
% 11.25/11.48  (step t1375 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9))) :rule contraction :premises (t1374))
% 11.25/11.48  (step t1376 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9))) (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule implies :premises (t1375))
% 11.25/11.48  (step t1377 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c11) tptp.sk_c11) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c11) (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c9) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t1351 t1376))
% 11.25/11.48  (step t1378 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) :rule resolution :premises (t1377 t1282 t1287 t1347 t1339 t263 t255 t247 t239 t231 t207 t199 t191 t183 t105 t97))
% 11.25/11.48  (step t1379 (cl (not (or (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c9)) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t411 t1287 t1378))
% 11.25/11.48  (step t1380 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X4))))))) :rule resolution :premises (t409 t1379))
% 11.25/11.48  (step t1381 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) :rule resolution :premises (t555 t1350))
% 11.25/11.48  (step t1382 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t573 t1347 t1339))
% 11.25/11.48  (step t1383 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))) :rule resolution :premises (t562 t1382))
% 11.25/11.48  (step t1384 (cl (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule resolution :premises (t1342 t1348 t1350 t1380 t1381 t1383))
% 11.25/11.48  (step t1385 (cl (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t379 t1384))
% 11.25/11.48  (step t1386 (cl) :rule resolution :premises (t2 t1303 t1334 t1340 t1341 t1385))
% 11.25/11.48  
% 11.25/11.48  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.3s1Wol3c8g/cvc5---1.0.5_26389.smt2
% 11.25/11.48  % cvc5---1.0.5 exiting
% 11.30/11.48  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------